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1,012,513

1,012,513 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.).

1,012,513 (one million twelve thousand five hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7321.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,152,101
Square (n²)
1,025,182,575,169
Cube (n³)
1,038,010,684,732,089,697
Divisor count
2
σ(n) — sum of divisors
1,012,514
φ(n) — Euler's totient
1,012,512

Primality

1,012,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1012513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,012,513)
1 × 1012513
First multiples
1,012,513 · 2,025,026 (double) · 3,037,539 · 4,050,052 · 5,062,565 · 6,075,078 · 7,087,591 · 8,100,104 · 9,112,617 · 10,125,130

Sums & aliquot sequence

As a sum of two squares: 632² + 783²
As consecutive integers: 506,256 + 506,257

Continued fraction of √n

√1,012,513 = [1006; (4, 4, 1, 1, 2, 1, 3, 1, 1, 1, 4, 1, 27, 7, 1, 3, 1, 6, 1, 2, 1, 7, 1, 1, …)]

Representations

In words
one million twelve thousand five hundred thirteen
Ordinal
1012513th
Binary
11110111001100100001
Octal
3671441
Hexadecimal
0xF7321
Base64
D3Mh
One's complement
4,293,954,782 (32-bit)
Scientific notation
1.012513 × 10⁶
As a duration
1,012,513 s = 11 days, 17 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 1220102220111
quaternary (4) 3313030201
quinary (5) 224400023
senary (6) 33411321
septenary (7) 11414635
nonary (9) 1812814
undecimal (11) 631797
duodecimal (12) 409b41
tridecimal (13) 295b28
tetradecimal (14) 1c4dc5
pentadecimal (15) 15000d

As an angle

1,012,513° = 2,812 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零一萬二千五百一十三
Chinese (financial)
壹佰零壹萬貳仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٢٥١٣ Devanagari १०१२५१३ Bengali ১০১২৫১৩ Tamil ௧௦௧௨௫௧௩ Thai ๑๐๑๒๕๑๓ Tibetan ༡༠༡༢༥༡༣ Khmer ១០១២៥១៣ Lao ໑໐໑໒໕໑໓ Burmese ၁၀၁၂၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1012507, sexy with 1012519.

Hex color
#0F7321
RGB(15, 115, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.33.

Address
0.15.115.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.115.33

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2513 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2513-10-01 (MMDYYYY (US, single-digit day))
  • 2513-01-10 (DDMYYYY (Euro, single-digit month))
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 1,012,513 and was likely granted around 1911.

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.