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525,013

525,013 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.).

525,013 (five hundred twenty-five thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x802D5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
310,525
Square (n²)
275,638,650,169
Cube (n³)
144,713,874,641,177,197
Divisor count
2
σ(n) — sum of divisors
525,014
φ(n) — Euler's totient
525,012

Primality

525,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 525013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 525,013)
1 × 525013
First multiples
525,013 · 1,050,026 (double) · 1,575,039 · 2,100,052 · 2,625,065 · 3,150,078 · 3,675,091 · 4,200,104 · 4,725,117 · 5,250,130

Sums & aliquot sequence

As a sum of two squares: 198² + 697²
As consecutive integers: 262,506 + 262,507

Continued fraction of √n

√525,013 = [724; (1, 1, 2, 1, 2, 2, 15, 1, 6, 6, 13, 3, 1, 10, 1, 13, 1, 2, 1, 1, 1, 1, 3, 3, …)]

Representations

In words
five hundred twenty-five thousand thirteen
Ordinal
525013th
Binary
10000000001011010101
Octal
2001325
Hexadecimal
0x802D5
Base64
CALV
One's complement
4,294,442,282 (32-bit)
Scientific notation
5.25013 × 10⁵
As a duration
525,013 s = 6 days, 1 hour, 50 minutes, 13 seconds
In other bases
ternary (3) 222200011221
quaternary (4) 2000023111
quinary (5) 113300023
senary (6) 15130341
septenary (7) 4314436
nonary (9) 880157
undecimal (11) 3294a5
duodecimal (12) 2139b1
tridecimal (13) 154c78
tetradecimal (14) d948d
pentadecimal (15) a585d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵φκειγʹ
Chinese
五十二萬五千零一十三
Chinese (financial)
伍拾貳萬伍仟零壹拾參
In other modern scripts
Eastern Arabic ٥٢٥٠١٣ Devanagari ५२५०१३ Bengali ৫২৫০১৩ Tamil ௫௨௫௦௧௩ Thai ๕๒๕๐๑๓ Tibetan ༥༢༥༠༡༣ Khmer ៥២៥០១៣ Lao ໕໒໕໐໑໓ Burmese ၅၂၅၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 525017.

Hex color
#0802D5
RGB(8, 2, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.2.213.

Address
0.8.2.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.2.213

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 525,013 and was likely granted around 1894.

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

Position in π

The digit sequence 525013 first appears in π at position 207,986 of the decimal expansion (the 207,986ordinal-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.