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513,053

513,053 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.).

513,053 (five hundred thirteen thousand fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D41D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
350,315
Square (n²)
263,223,380,809
Cube (n³)
135,047,545,194,199,877
Divisor count
2
σ(n) — sum of divisors
513,054
φ(n) — Euler's totient
513,052

Primality

513,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,053)
1 × 513053
First multiples
513,053 · 1,026,106 (double) · 1,539,159 · 2,052,212 · 2,565,265 · 3,078,318 · 3,591,371 · 4,104,424 · 4,617,477 · 5,130,530

Sums & aliquot sequence

As a sum of two squares: 283² + 658²
As consecutive integers: 256,526 + 256,527

Continued fraction of √n

√513,053 = [716; (3, 1, 1, 1, 1, 4, 1, 1, 3, 1, 1, 1, 2, 5, 1, 1, 3, 3, 7, 3, 5, 1, 4, 1, …)]

Representations

In words
five hundred thirteen thousand fifty-three
Ordinal
513053rd
Binary
1111101010000011101
Octal
1752035
Hexadecimal
0x7D41D
Base64
B9Qd
One's complement
4,294,454,242 (32-bit)
Scientific notation
5.13053 × 10⁵
As a duration
513,053 s = 5 days, 22 hours, 30 minutes, 53 seconds
In other bases
ternary (3) 222001202222
quaternary (4) 1331100131
quinary (5) 112404203
senary (6) 14555125
septenary (7) 4234532
nonary (9) 861688
undecimal (11) 320512
duodecimal (12) 208aa5
tridecimal (13) 14c6a8
tetradecimal (14) d4d89
pentadecimal (15) a2038

As an angle

513,053° = 1,425 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φιγνγʹ
Chinese
五十一萬三千零五十三
Chinese (financial)
伍拾壹萬參仟零伍拾參
In other modern scripts
Eastern Arabic ٥١٣٠٥٣ Devanagari ५१३०५३ Bengali ৫১৩০৫৩ Tamil ௫௧௩௦௫௩ Thai ๕๑๓๐๕๓ Tibetan ༥༡༣༠༥༣ Khmer ៥១៣០៥៣ Lao ໕໑໓໐໕໓ Burmese ၅၁၃၀၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513047, sexy with 513059.

Hex color
#07D41D
RGB(7, 212, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.29.

Address
0.7.212.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.29

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 513,053 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.