number.wiki
Live analysis

513,353

513,353 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.).

513,353 (five hundred thirteen thousand three hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D549.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
675
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
353,315
Square (n²)
263,531,302,609
Cube (n³)
135,284,584,788,237,977
Divisor count
2
σ(n) — sum of divisors
513,354
φ(n) — Euler's totient
513,352

Primality

513,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,353)
1 × 513353
First multiples
513,353 · 1,026,706 (double) · 1,540,059 · 2,053,412 · 2,566,765 · 3,080,118 · 3,593,471 · 4,106,824 · 4,620,177 · 5,133,530

Sums & aliquot sequence

As a sum of two squares: 328² + 637²
As consecutive integers: 256,676 + 256,677

Continued fraction of √n

√513,353 = [716; (2, 18, 9, 13, 1, 2, 75, 12, 1, 3, 1, 1, 3, 7, 1, 6, 5, 1, 1, 3, 2, 2, 1, 5, …)]

Representations

In words
five hundred thirteen thousand three hundred fifty-three
Ordinal
513353rd
Binary
1111101010101001001
Octal
1752511
Hexadecimal
0x7D549
Base64
B9VJ
One's complement
4,294,453,942 (32-bit)
Scientific notation
5.13353 × 10⁵
As a duration
513,353 s = 5 days, 22 hours, 35 minutes, 53 seconds
In other bases
ternary (3) 222002012002
quaternary (4) 1331111021
quinary (5) 112411403
senary (6) 15000345
septenary (7) 4235441
nonary (9) 862162
undecimal (11) 320765
duodecimal (12) 2090b5
tridecimal (13) 14c879
tetradecimal (14) d5121
pentadecimal (15) a2188

As an angle

513,353° = 1,425 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγτνγʹ
Chinese
五十一萬三千三百五十三
Chinese (financial)
伍拾壹萬參仟參佰伍拾參
In other modern scripts
Eastern Arabic ٥١٣٣٥٣ Devanagari ५१३३५३ Bengali ৫১৩৩৫৩ Tamil ௫௧௩௩௫௩ Thai ๕๑๓๓๕๓ Tibetan ༥༡༣༣༥༣ Khmer ៥១៣៣៥៣ Lao ໕໑໓໓໕໓ Burmese ၅၁၃၃၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513347.

Hex color
#07D549
RGB(7, 213, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.73.

Address
0.7.213.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.73

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 513,353 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.