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513,109

513,109 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.).

513,109 (five hundred thirteen thousand one hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7D455.

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
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
901,315
Square (n²)
263,280,845,881
Cube (n³)
135,091,771,549,154,029
Divisor count
2
σ(n) — sum of divisors
513,110
φ(n) — Euler's totient
513,108

Primality

513,109 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 513109
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 513,109)
1 × 513109
First multiples
513,109 · 1,026,218 (double) · 1,539,327 · 2,052,436 · 2,565,545 · 3,078,654 · 3,591,763 · 4,104,872 · 4,617,981 · 5,131,090

Sums & aliquot sequence

As a sum of two squares: 503² + 510²
As consecutive integers: 256,554 + 256,555

Continued fraction of √n

√513,109 = [716; (3, 6, 5, 1, 1, 2, 8, 1, 3, 1, 3, 2, 2, 6, 1, 2, 1, 1, 4, 1, 14, 1, 1, 2, …)]

Representations

In words
five hundred thirteen thousand one hundred nine
Ordinal
513109th
Binary
1111101010001010101
Octal
1752125
Hexadecimal
0x7D455
Base64
B9RV
One's complement
4,294,454,186 (32-bit)
Scientific notation
5.13109 × 10⁵
As a duration
513,109 s = 5 days, 22 hours, 31 minutes, 49 seconds
In other bases
ternary (3) 222001212001
quaternary (4) 1331101111
quinary (5) 112404414
senary (6) 14555301
septenary (7) 4234642
nonary (9) 861761
undecimal (11) 320563
duodecimal (12) 208b31
tridecimal (13) 14c71c
tetradecimal (14) d4dc9
pentadecimal (15) a2074

As an angle

513,109° = 1,425 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγρθʹ
Chinese
五十一萬三千一百零九
Chinese (financial)
伍拾壹萬參仟壹佰零玖
In other modern scripts
Eastern Arabic ٥١٣١٠٩ Devanagari ५१३१०९ Bengali ৫১৩১০৯ Tamil ௫௧௩௧௦௯ Thai ๕๑๓๑๐๙ Tibetan ༥༡༣༡༠༩ Khmer ៥១៣១០៩ Lao ໕໑໓໑໐໙ Burmese ၅၁၃၁၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 513103.

Hex color
#07D455
RGB(7, 212, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.85.

Address
0.7.212.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.85

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 513,109 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 513109 first appears in π at position 173,239 of the decimal expansion (the 173,239ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.