Number

1,513

1,513 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree Year

Notable events — 1513 AD

Sep 25 Vasco Núñez de Balboa becomes the first European to see the Pacific from the Americas.
Sep 9 James IV of Scotland dies at Flodden against the English.
Apr 2 Juan Ponce de León lands in Florida.

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: Wednesday
January 1, 1513
Ended on: Wednesday
December 31, 1513
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1510s
1510–1519
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 513
513 years before 2026.

In other calendars

Hebrew: 5273 / 5274 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 918 / 919 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2056 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 891 / 892 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1505 / 1506 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1435 / 1434 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 15
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 3,151
Recamán's sequence: a(1,534) = 1,513
Square (n²): 2,289,169
Cube (n³): 3,463,512,697
Divisor count: 4
σ(n) — sum of divisors: 1,620
φ(n) — Euler's totient: 1,408
Sum of prime factors: 106

Primality

Prime factorization: 17 × 89

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

Divisors & multiples

All divisors (4)

1 · 17 · 89 · 1513

Aliquot sum (sum of proper divisors): 107

Factor pairs (a × b = 1,513)

1 × 1513

17 × 89

First multiples

1,513 · 3,026 (double) · 4,539 · 6,052 · 7,565 · 9,078 · 10,591 · 12,104 · 13,617 · 15,130

Sums & aliquot sequence

As a sum of two squares: 12² + 37² = 27² + 28²

As consecutive integers: 756 + 757 81 + 82 + … + 97 28 + 29 + … + 61

Aliquot sequence: 1,513 → 107 → 1 → 0 — terminates at zero

Representations

In words: one thousand five hundred thirteen
Ordinal: 1513th
Roman numeral: MDXIII
Binary: 10111101001
Octal: 2751
Hexadecimal: 0x5E9
Base64: Bek=
One's complement: 64,022 (16-bit)

In other bases

ternary (3) 2002001

quaternary (4) 113221

quinary (5) 22023

senary (6) 11001

septenary (7) 4261

nonary (9) 2061

undecimal (11) 1156

duodecimal (12) a61

tridecimal (13) 8c5

tetradecimal (14) 7a1

pentadecimal (15) 6ad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αφιγʹ
Mayan (base 20): 𝋣·𝋯·𝋭
Chinese: 一千五百一十三
Chinese (financial): 壹仟伍佰壹拾參

In other modern scripts

Eastern Arabic ١٥١٣ Devanagari १५१३ Bengali ১৫১৩ Tamil ௧௫௧௩ Thai ๑๕๑๓ Tibetan ༡༥༡༣ Khmer ១៥១៣ Lao ໑໕໑໓ Burmese ၁၅၁၃

Digit at this position in famous constants

π — Pi (π): Digit 1,513 = 7
e — Euler's number (e): Digit 1,513 = 6
φ — Golden ratio (φ): Digit 1,513 = 2
√2 — Pythagoras's (√2): Digit 1,513 = 9
ln 2 — Natural log of 2: Digit 1,513 = 4
γ — Euler-Mascheroni (γ): Digit 1,513 = 9

Also seen as

Unicode codepoint

Hebrew Letter Shin

U+05E9

Other letter (Lo)

UTF-8 encoding: D7 A9 (2 bytes).

Lookup U+05E9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005E9

RGB(0, 5, 233)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.233.

Address: 0.0.5.233
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.233

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

Position in π

The digit sequence 1513 first appears in π at position 3,464 of the decimal expansion (the 3,464ordinal-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.

Look up 1513 on Pi Search ↗