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513,131

513,131 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

513,131 (five hundred thirteen thousand one hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D46B.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
45
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
131,315
Square (n²)
263,303,423,161
Cube (n³)
135,109,148,830,027,091
Divisor count
2
σ(n) — sum of divisors
513,132
φ(n) — Euler's totient
513,130

Primality

513,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,131)
1 × 513131
First multiples
513,131 · 1,026,262 (double) · 1,539,393 · 2,052,524 · 2,565,655 · 3,078,786 · 3,591,917 · 4,105,048 · 4,618,179 · 5,131,310

Sums & aliquot sequence

As consecutive integers: 256,565 + 256,566

Continued fraction of √n

√513,131 = [716; (3, 64, 1, 3, 1, 2, 2, 11, 2, 2, 2, 9, 2, 6, 1, 1, 17, 1, 1, 2, 45, 1, 4, 2, …)]

Representations

In words
five hundred thirteen thousand one hundred thirty-one
Ordinal
513131st
Binary
1111101010001101011
Octal
1752153
Hexadecimal
0x7D46B
Base64
B9Rr
One's complement
4,294,454,164 (32-bit)
Scientific notation
5.13131 × 10⁵
As a duration
513,131 s = 5 days, 22 hours, 32 minutes, 11 seconds
In other bases
ternary (3) 222001212212
quaternary (4) 1331101223
quinary (5) 112410011
senary (6) 14555335
septenary (7) 4235003
nonary (9) 861785
undecimal (11) 320583
duodecimal (12) 208b4b
tridecimal (13) 14c738
tetradecimal (14) d5003
pentadecimal (15) a208b

As an angle

513,131° = 1,425 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγρλαʹ
Chinese
五十一萬三千一百三十一
Chinese (financial)
伍拾壹萬參仟壹佰參拾壹
In other modern scripts
Eastern Arabic ٥١٣١٣١ Devanagari ५१३१३१ Bengali ৫১৩১৩১ Tamil ௫௧௩௧௩௧ Thai ๕๑๓๑๓๑ Tibetan ༥༡༣༡༣༡ Khmer ៥១៣១៣១ Lao ໕໑໓໑໓໑ Burmese ၅၁၃၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513137.

Hex color
#07D46B
RGB(7, 212, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.107.

Address
0.7.212.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.107

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 513,131 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.