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Number

51,521

51,521 is a prime, odd.

51,521 (fifty-one thousand five hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xC941.

Arithmetic Number Centered Square Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
50
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
12,515
Recamán's sequence
a(295,846) = 51,521
Square (n²)
2,654,413,441
Cube (n³)
136,758,034,893,761
Divisor count
2
σ(n) — sum of divisors
51,522
φ(n) — Euler's totient
51,520

Primality

51,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 51521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 51,521)
1 × 51521
First multiples
51,521 · 103,042 (double) · 154,563 · 206,084 · 257,605 · 309,126 · 360,647 · 412,168 · 463,689 · 515,210

Sums & aliquot sequence

As a sum of two squares: 160² + 161²
As consecutive integers: 25,760 + 25,761

Continued fraction of √n

√51,521 = [226; (1, 55, 1, 2, 1, 27, 1, 1, 1, 1, 1, 13, 1, 1, 3, 1, 1, 6, 1, 1, 7, 1, 1, 3, …)]

Representations

In words
fifty-one thousand five hundred twenty-one
Ordinal
51521st
Binary
1100100101000001
Octal
144501
Hexadecimal
0xC941
Base64
yUE=
One's complement
14,014 (16-bit)
Scientific notation
5.1521 × 10⁴
As a duration
51,521 s = 14 hours, 18 minutes, 41 seconds
In other bases
ternary (3) 2121200012
quaternary (4) 30211001
quinary (5) 3122041
senary (6) 1034305
septenary (7) 303131
nonary (9) 77605
undecimal (11) 35788
duodecimal (12) 25995
tridecimal (13) 1a5b2
tetradecimal (14) 14ac1
pentadecimal (15) 103eb

As an angle

51,521° = 143 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ναφκαʹ
Mayan (base 20)
𝋦·𝋨·𝋰·𝋡
Chinese
五萬一千五百二十一
Chinese (financial)
伍萬壹仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ٥١٥٢١ Devanagari ५१५२१ Bengali ৫১৫২১ Tamil ௫௧௫௨௧ Thai ๕๑๕๒๑ Tibetan ༥༡༥༢༡ Khmer ៥១៥២១ Lao ໕໑໕໒໑ Burmese ၅၁၅၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 51,521 = 5
e — Euler's number (e)
Digit 51,521 = 4
φ — Golden ratio (φ)
Digit 51,521 = 6
√2 — Pythagoras's (√2)
Digit 51,521 = 4
ln 2 — Natural log of 2
Digit 51,521 = 3
γ — Euler-Mascheroni (γ)
Digit 51,521 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 51,517 (gap of 4)
  • Next prime: 51,539 (gap of 18)

Pair status: cousin with 51517.

Unicode codepoint
Hangul Syllable Jwelt
U+C941
Other letter (Lo)

UTF-8 encoding: EC A5 81 (3 bytes).

Hex color
#00C941
RGB(0, 201, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.201.65.

Address
0.0.201.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.201.65

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 51521 first appears in π at position 10,458 of the decimal expansion (the 10,458ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.