Live analysis

501,013

501,013 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.).

501,013 (five hundred one thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A515.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

501,001 501,002 501,003 501,004 501,005 501,006 501,007 501,008 501,009 501,010 501,011 501,012 501,013 501,014 501,015 501,016 501,017 501,018 501,019 501,020 501,021 501,022 501,023 501,024 501,025

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Properties

Parity: Odd
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 19 bits
Reversed: 310,105
Square (n²): 251,014,026,169
Cube (n³): 125,761,290,293,009,197
Divisor count: 2
σ(n) — sum of divisors: 501,014
φ(n) — Euler's totient: 501,012

Primality

501,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 501013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 501,013)

1 × 501013

First multiples

501,013 · 1,002,026 (double) · 1,503,039 · 2,004,052 · 2,505,065 · 3,006,078 · 3,507,091 · 4,008,104 · 4,509,117 · 5,010,130

Sums & aliquot sequence

As a sum of two squares: 498² + 503²

As consecutive integers: 250,506 + 250,507

Continued fraction of √n

√501,013 = [707; (1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 5, 39, 7, 2, 6, 1, 1, 2, 1, 3, 1, …)]

Representations

In words: five hundred one thousand thirteen
Ordinal: 501013th
Binary: 1111010010100010101
Octal: 1722425
Hexadecimal: 0x7A515
Base64: B6UV
One's complement: 4,294,466,282 (32-bit)
Scientific notation: 5.01013 × 10⁵
As a duration: 501,013 s = 5 days, 19 hours, 10 minutes, 13 seconds

In other bases

ternary (3) 221110021001

quaternary (4) 1322110111

quinary (5) 112013023

senary (6) 14423301

septenary (7) 4154452

nonary (9) 843231

undecimal (11) 312467

duodecimal (12) 201b31

tridecimal (13) 147076

tetradecimal (14) d0829

pentadecimal (15) 9d6ad

As an angle

501,013° = 1,391 × 360° + 253°

253° ≈ 4.416 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵φαιγʹ
Chinese: 五十萬一千零一十三
Chinese (financial): 伍拾萬壹仟零壹拾參

In other modern scripts

Eastern Arabic ٥٠١٠١٣ Devanagari ५०१०१३ Bengali ৫০১০১৩ Tamil ௫௦௧௦௧௩ Thai ๕๐๑๐๑๓ Tibetan ༥༠༡༠༡༣ Khmer ៥០១០១៣ Lao ໕໐໑໐໑໓ Burmese ၅၀၁၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 501,001 (gap of 12)
Next prime: 501,019 (gap of 6)

Pair status: sexy with 501019.

Hex color

#07A515

RGB(7, 165, 21)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.21.

Address: 0.7.165.21
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.165.21

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 501,013 and was likely granted around 1893.

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

Look up US501,013 on Google Patents ↗ Look up on USPTO ↗