number.wiki
Number

521

521 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Descending Digits Lucas Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 521 AD

Calendar year

Year 521 (DXXI) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 521 BC

Calendar year

The year 521 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Wednesday
January 1, 521
Ended on
Wednesday
December 31, 521
Friday the 13ths
1
One Friday the 13th this year.
Decade
520s
520–529
Century
6th century
501–600
Millennium
1st millennium
1–1000
Years ago
1,505
1505 years before 2026.

In other calendars

Hebrew
4281 / 4282 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1064 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
513 / 514 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
443 / 442 Saka
Indian national calendar; year starts in March.

Cultural significance

Chinese slang

"I love you too" — partner of 520.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity
Odd
Digit count
3
Digit sum
8
Digit product
10
Digital root
8
Palindrome
No
Bit width
10 bits
Reversed
125
Recamán's sequence
a(1,217) = 521
Square (n²)
271,441
Cube (n³)
141,420,761
Divisor count
2
σ(n) — sum of divisors
522
φ(n) — Euler's totient
520

Primality

521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 521)
1 × 521
First multiples
521 · 1,042 (double) · 1,563 · 2,084 · 2,605 · 3,126 · 3,647 · 4,168 · 4,689 · 5,210

Sums & aliquot sequence

As a sum of two squares: 11² + 20²
As consecutive integers: 260 + 261

Representations

In words
five hundred twenty-one
Ordinal
521st
Roman numeral
DXXI
Binary
1000001001
Octal
1011
Hexadecimal
0x209
Base64
Agk=
One's complement
65,014 (16-bit)
In other bases
ternary (3) 201022
quaternary (4) 20021
quinary (5) 4041
senary (6) 2225
septenary (7) 1343
nonary (9) 638
undecimal (11) 434
duodecimal (12) 375
tridecimal (13) 311
tetradecimal (14) 293
pentadecimal (15) 24b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
φκαʹ
Mayan (base 20)
𝋡·𝋦·𝋡
Chinese
五百二十一
Chinese (financial)
伍佰貳拾壹
In other modern scripts
Eastern Arabic ٥٢١ Devanagari ५२१ Bengali ৫২১ Tamil ௫௨௧ Thai ๕๒๑ Tibetan ༥༢༡ Khmer ៥២១ Lao ໕໒໑ Burmese ၅၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 521 = 0
e — Euler's number (e)
Digit 521 = 5
φ — Golden ratio (φ)
Digit 521 = 8
√2 — Pythagoras's (√2)
Digit 521 = 7
ln 2 — Natural log of 2
Digit 521 = 2
γ — Euler-Mascheroni (γ)
Digit 521 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 509 (gap of 12)
  • Next prime: 523 (gap of 2)

Pair status: twin with 523.

Unicode codepoint
ȉ
Latin Small Letter I With Double Grave
U+0209
Lowercase letter (Ll)

UTF-8 encoding: C8 89 (2 bytes).

Hex color
#000209
RGB(0, 2, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.9.

Address
0.0.2.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.9

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000521
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.