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513,101

513,101 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.).

513,101 (five hundred thirteen thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D44D.

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
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
101,315
Square (n²)
263,272,636,201
Cube (n³)
135,085,452,907,369,301
Divisor count
2
σ(n) — sum of divisors
513,102
φ(n) — Euler's totient
513,100

Primality

513,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,101)
1 × 513101
First multiples
513,101 · 1,026,202 (double) · 1,539,303 · 2,052,404 · 2,565,505 · 3,078,606 · 3,591,707 · 4,104,808 · 4,617,909 · 5,131,010

Sums & aliquot sequence

As a sum of two squares: 301² + 650²
As consecutive integers: 256,550 + 256,551

Continued fraction of √n

√513,101 = [716; (3, 4, 1, 1, 2, 1, 12, 2, 2, 1, 4, 1, 3, 1, 14, 3, 2, 11, 8, 10, 9, 6, 1, 17, …)]

Representations

In words
five hundred thirteen thousand one hundred one
Ordinal
513101st
Binary
1111101010001001101
Octal
1752115
Hexadecimal
0x7D44D
Base64
B9RN
One's complement
4,294,454,194 (32-bit)
Scientific notation
5.13101 × 10⁵
As a duration
513,101 s = 5 days, 22 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 222001211202
quaternary (4) 1331101031
quinary (5) 112404401
senary (6) 14555245
septenary (7) 4234631
nonary (9) 861752
undecimal (11) 320556
duodecimal (12) 208b25
tridecimal (13) 14c714
tetradecimal (14) d4dc1
pentadecimal (15) a206b

As an angle

513,101° = 1,425 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵φιγραʹ
Chinese
五十一萬三千一百零一
Chinese (financial)
伍拾壹萬參仟壹佰零壹
In other modern scripts
Eastern Arabic ٥١٣١٠١ Devanagari ५१३१०१ Bengali ৫১৩১০১ Tamil ௫௧௩௧௦௧ Thai ๕๑๓๑๐๑ Tibetan ༥༡༣༡༠༡ Khmer ៥១៣១០១ Lao ໕໑໓໑໐໑ Burmese ၅၁၃၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 513103.

Hex color
#07D44D
RGB(7, 212, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.77.

Address
0.7.212.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.77

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 513,101 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.