number.wiki
Live analysis

513,001

513,001 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.).

513,001 (five hundred thirteen thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D3E9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
100,315
Square (n²)
263,170,026,001
Cube (n³)
135,006,486,508,539,001
Divisor count
2
σ(n) — sum of divisors
513,002
φ(n) — Euler's totient
513,000

Primality

513,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,001)
1 × 513001
First multiples
513,001 · 1,026,002 (double) · 1,539,003 · 2,052,004 · 2,565,005 · 3,078,006 · 3,591,007 · 4,104,008 · 4,617,009 · 5,130,010

Sums & aliquot sequence

As a sum of two squares: 460² + 549²
As consecutive integers: 256,500 + 256,501

Continued fraction of √n

√513,001 = [716; (4, 6, 1, 1, 1, 1, 9, 2, 1, 12, 4, 2, 1, 1, 16, 3, 1, 4, 1, 1, 1, 1, 2, 1, …)]

Representations

In words
five hundred thirteen thousand one
Ordinal
513001st
Binary
1111101001111101001
Octal
1751751
Hexadecimal
0x7D3E9
Base64
B9Pp
One's complement
4,294,454,294 (32-bit)
Scientific notation
5.13001 × 10⁵
As a duration
513,001 s = 5 days, 22 hours, 30 minutes, 1 second
In other bases
ternary (3) 222001201001
quaternary (4) 1331033221
quinary (5) 112404001
senary (6) 14555001
septenary (7) 4234426
nonary (9) 861631
undecimal (11) 320475
duodecimal (12) 208a61
tridecimal (13) 14c668
tetradecimal (14) d4d4d
pentadecimal (15) a2001
Palindromic in base 14

As an angle

513,001° = 1,425 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓏺
Greek (Milesian)
͵φιγαʹ
Chinese
五十一萬三千零一
Chinese (financial)
伍拾壹萬參仟零壹
In other modern scripts
Eastern Arabic ٥١٣٠٠١ Devanagari ५१३००१ Bengali ৫১৩০০১ Tamil ௫௧௩௦௦௧ Thai ๕๑๓๐๐๑ Tibetan ༥༡༣༠༠༡ Khmer ៥១៣០០១ Lao ໕໑໓໐໐໑ Burmese ၅၁၃၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 512999.

Hex color
#07D3E9
RGB(7, 211, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.211.233.

Address
0.7.211.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.211.233

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 513,001 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.