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513,991

513,991 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.).

513,991 (five hundred thirteen thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D7C7.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,215
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
199,315
Square (n²)
264,186,748,081
Cube (n³)
135,789,610,832,901,271
Divisor count
2
σ(n) — sum of divisors
513,992
φ(n) — Euler's totient
513,990

Primality

513,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,991)
1 × 513991
First multiples
513,991 · 1,027,982 (double) · 1,541,973 · 2,055,964 · 2,569,955 · 3,083,946 · 3,597,937 · 4,111,928 · 4,625,919 · 5,139,910

Sums & aliquot sequence

As consecutive integers: 256,995 + 256,996

Continued fraction of √n

√513,991 = [716; (1, 13, 1, 1, 1, 2, 1, 1, 6, 1, 3, 2, 2, 1, 4, 1, 10, 1, 1, 4, 22, 1, 1, 5, …)]

Representations

In words
five hundred thirteen thousand nine hundred ninety-one
Ordinal
513991st
Binary
1111101011111000111
Octal
1753707
Hexadecimal
0x7D7C7
Base64
B9fH
One's complement
4,294,453,304 (32-bit)
Scientific notation
5.13991 × 10⁵
As a duration
513,991 s = 5 days, 22 hours, 46 minutes, 31 seconds
In other bases
ternary (3) 222010001201
quaternary (4) 1331133013
quinary (5) 112421431
senary (6) 15003331
septenary (7) 4240342
nonary (9) 863051
undecimal (11) 321195
duodecimal (12) 209547
tridecimal (13) 14cc4a
tetradecimal (14) d5459
pentadecimal (15) a2461

As an angle

513,991° = 1,427 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φιγϡϟαʹ
Chinese
五十一萬三千九百九十一
Chinese (financial)
伍拾壹萬參仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ٥١٣٩٩١ Devanagari ५१३९९१ Bengali ৫১৩৯৯১ Tamil ௫௧௩௯௯௧ Thai ๕๑๓๙๙๑ Tibetan ༥༡༣༩༩༡ Khmer ៥១៣៩៩១ Lao ໕໑໓໙໙໑ Burmese ၅၁၃၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07D7C7
RGB(7, 215, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.199.

Address
0.7.215.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.199

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 513,991 and was likely granted around 1894.

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.