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Number

1,521

1,521 is a composite number, odd, a calendar year.

Deficient Number Happy Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Recamán's Sequence Year

Notable events — 1521 AD

  1. Jan 3 Pope Leo X excommunicates Martin Luther.
  2. Apr 17 Luther defends himself at the Diet of Worms; he is outlawed.
  3. Apr 27 Magellan is killed in the Philippines.
  4. Aug 13 Cortés captures Tenochtitlan, ending the Aztec Empire.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 1521
Ended on
Saturday
December 31, 1521
Friday the 13ths
1
One Friday the 13th this year.
Decade
1520s
1520–1529
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
505
505 years before 2026.

In other calendars

Hebrew
5281 / 5282 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
927 / 928 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2064 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
899 / 900 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1513 / 1514 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1443 / 1442 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
10
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
1,251
Recamán's sequence
a(1,518) = 1,521
Square (n²)
2,313,441
Cube (n³)
3,518,743,761
Square root (√n)
39
Divisor count
9
σ(n) — sum of divisors
2,379
φ(n) — Euler's totient
936
Sum of prime factors
32

Primality

Prime factorization: 3 2 × 13 2

Nearest primes: 1,511 (−10) · 1,523 (+2)

Divisors & multiples

All divisors (9)
1 · 3 · 9 · 13 · 39 · 117 · 169 · 507 · 1521
Aliquot sum (sum of proper divisors): 858
Factor pairs (a × b = 1,521)
1 × 1521
3 × 507
9 × 169
13 × 117
39 × 39
First multiples
1,521 · 3,042 (double) · 4,563 · 6,084 · 7,605 · 9,126 · 10,647 · 12,168 · 13,689 · 15,210

Sums & aliquot sequence

As a sum of two squares: 0² + 39² = 15² + 36²
As consecutive integers: 760 + 761 506 + 507 + 508 251 + 252 + 253 + 254 + 255 + 256 165 + 166 + … + 173
Aliquot sequence: 1,521 858 1,158 1,170 2,106 2,976 5,088 8,520 17,400 38,400 88,452 196,924 228,004 255,836 255,892 339,948 708,372 — unresolved within range

Representations

In words
one thousand five hundred twenty-one
Ordinal
1521st
Roman numeral
MDXXI
Binary
10111110001
Octal
2761
Hexadecimal
0x5F1
Base64
BfE=
One's complement
64,014 (16-bit)
In other bases
ternary (3) 2002100
quaternary (4) 113301
quinary (5) 22041
senary (6) 11013
septenary (7) 4302
nonary (9) 2070
undecimal (11) 1163
duodecimal (12) a69
tridecimal (13) 900
tetradecimal (14) 7a9
pentadecimal (15) 6b6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵αφκαʹ
Mayan (base 20)
𝋣·𝋰·𝋡
Chinese
一千五百二十一
Chinese (financial)
壹仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٥٢١ Devanagari १५२१ Bengali ১৫২১ Tamil ௧௫௨௧ Thai ๑๕๒๑ Tibetan ༡༥༢༡ Khmer ១៥២១ Lao ໑໕໒໑ Burmese ၁၅၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,521 = 6
e — Euler's number (e)
Digit 1,521 = 9
φ — Golden ratio (φ)
Digit 1,521 = 9
√2 — Pythagoras's (√2)
Digit 1,521 = 6
ln 2 — Natural log of 2
Digit 1,521 = 0
γ — Euler-Mascheroni (γ)
Digit 1,521 = 1

Also seen as

Unicode codepoint
ױ
Hebrew Ligature Yiddish Vav Yod
U+05F1
Other letter (Lo)

UTF-8 encoding: D7 B1 (2 bytes).

Network port

TCP/UDP port 1521 is the registered port for Oracle DB — Oracle Database listener.

Hex color
#0005F1
RGB(0, 5, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.241.

Address
0.0.5.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.241

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1521 first appears in π at position 1,315 of the decimal expansion (the 1,315ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.