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513,013

513,013 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.).

513,013 (five hundred thirteen thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D3F5.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
310,315
Square (n²)
263,182,338,169
Cube (n³)
135,015,960,851,093,197
Divisor count
2
σ(n) — sum of divisors
513,014
φ(n) — Euler's totient
513,012

Primality

513,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,013)
1 × 513013
First multiples
513,013 · 1,026,026 (double) · 1,539,039 · 2,052,052 · 2,565,065 · 3,078,078 · 3,591,091 · 4,104,104 · 4,617,117 · 5,130,130

Sums & aliquot sequence

As a sum of two squares: 423² + 578²
As consecutive integers: 256,506 + 256,507

Continued fraction of √n

√513,013 = [716; (4, 84, 68, 4, 1, 16, 3, 1, 20, 3, 4, 1, 357, 3, 4, 1, 20, 3, 1, 16, 3, 3, 16, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand thirteen
Ordinal
513013th
Binary
1111101001111110101
Octal
1751765
Hexadecimal
0x7D3F5
Base64
B9P1
One's complement
4,294,454,282 (32-bit)
Scientific notation
5.13013 × 10⁵
As a duration
513,013 s = 5 days, 22 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 222001201111
quaternary (4) 1331033311
quinary (5) 112404023
senary (6) 14555021
septenary (7) 4234444
nonary (9) 861644
undecimal (11) 320486
duodecimal (12) 208a71
tridecimal (13) 14c677
tetradecimal (14) d4d5b
pentadecimal (15) a200d

As an angle

513,013° = 1,425 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγιγʹ
Chinese
五十一萬三千零一十三
Chinese (financial)
伍拾壹萬參仟零壹拾參
In other modern scripts
Eastern Arabic ٥١٣٠١٣ Devanagari ५१३०१३ Bengali ৫১৩০১৩ Tamil ௫௧௩௦௧௩ Thai ๕๑๓๐๑๓ Tibetan ༥༡༣༠༡༣ Khmer ៥១៣០១៣ Lao ໕໑໓໐໑໓ Burmese ၅၁၃၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 513017.

Hex color
#07D3F5
RGB(7, 211, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.211.245.

Address
0.7.211.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.211.245

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 513,013 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.