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513,509

513,509 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.).

513,509 (five hundred thirteen thousand five hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D5E5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
905,315
Square (n²)
263,691,493,081
Cube (n³)
135,407,954,920,531,229
Divisor count
2
σ(n) — sum of divisors
513,510
φ(n) — Euler's totient
513,508

Primality

513,509 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513509
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,509)
1 × 513509
First multiples
513,509 · 1,027,018 (double) · 1,540,527 · 2,054,036 · 2,567,545 · 3,081,054 · 3,594,563 · 4,108,072 · 4,621,581 · 5,135,090

Sums & aliquot sequence

As a sum of two squares: 97² + 710²
As consecutive integers: 256,754 + 256,755

Continued fraction of √n

√513,509 = [716; (1, 1, 2, 8, 2, 1, 18, 1, 20, 2, 3, 1, 3, 1, 3, 7, 2, 1, 3, 1, 1, 2, 1, 285, …)]

Representations

In words
five hundred thirteen thousand five hundred nine
Ordinal
513509th
Binary
1111101010111100101
Octal
1752745
Hexadecimal
0x7D5E5
Base64
B9Xl
One's complement
4,294,453,786 (32-bit)
Scientific notation
5.13509 × 10⁵
As a duration
513,509 s = 5 days, 22 hours, 38 minutes, 29 seconds
In other bases
ternary (3) 222002101212
quaternary (4) 1331113211
quinary (5) 112413014
senary (6) 15001205
septenary (7) 4236053
nonary (9) 862355
undecimal (11) 320897
duodecimal (12) 209205
tridecimal (13) 14c969
tetradecimal (14) d51d3
pentadecimal (15) a223e

As an angle

513,509° = 1,426 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγφθʹ
Chinese
五十一萬三千五百零九
Chinese (financial)
伍拾壹萬參仟伍佰零玖
In other modern scripts
Eastern Arabic ٥١٣٥٠٩ Devanagari ५१३५०९ Bengali ৫১৩৫০৯ Tamil ௫௧௩௫௦௯ Thai ๕๑๓๕๐๙ Tibetan ༥༡༣༥༠༩ Khmer ៥១៣៥០៩ Lao ໕໑໓໕໐໙ Burmese ၅၁၃၅၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 513511.

Hex color
#07D5E5
RGB(7, 213, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.229.

Address
0.7.213.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.229

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 513,509 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.