Live analysis

501,133

501,133 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.).

501,133 (five hundred one thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A58D.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

501,121 501,122 501,123 501,124 501,125 501,126 501,127 501,128 501,129 501,130 501,131 501,132 501,133 501,134 501,135 501,136 501,137 501,138 501,139 501,140 501,141 501,142 501,143 501,144 501,145

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Properties

Parity: Odd
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 331,105
Square (n²): 251,134,283,689
Cube (n³): 125,851,676,987,919,637
Divisor count: 2
σ(n) — sum of divisors: 501,134
φ(n) — Euler's totient: 501,132

Primality

501,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 501133

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 501,133)

1 × 501133

First multiples

501,133 · 1,002,266 (double) · 1,503,399 · 2,004,532 · 2,505,665 · 3,006,798 · 3,507,931 · 4,009,064 · 4,510,197 · 5,011,330

Sums & aliquot sequence

As a sum of two squares: 403² + 582²

As consecutive integers: 250,566 + 250,567

Continued fraction of √n

√501,133 = [707; (1, 9, 1, 4, 4, 1, 1, 7, 2, 4, 8, 1, 5, 1, 3, 11, 3, 1, 48, 15, 4, 1, 11, 3, …)]

Representations

In words: five hundred one thousand one hundred thirty-three
Ordinal: 501133rd
Binary: 1111010010110001101
Octal: 1722615
Hexadecimal: 0x7A58D
Base64: B6WN
One's complement: 4,294,466,162 (32-bit)
Scientific notation: 5.01133 × 10⁵
As a duration: 501,133 s = 5 days, 19 hours, 12 minutes, 13 seconds

In other bases

ternary (3) 221110102111

quaternary (4) 1322112031

quinary (5) 112014013

senary (6) 14424021

septenary (7) 4155013

nonary (9) 843374

undecimal (11) 312566

duodecimal (12) 202011

tridecimal (13) 147139

tetradecimal (14) d08b3

pentadecimal (15) 9d73d

As an angle

501,133° = 1,392 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵φαρλγʹ
Chinese: 五十萬一千一百三十三
Chinese (financial): 伍拾萬壹仟壹佰參拾參

In other modern scripts

Eastern Arabic ٥٠١١٣٣ Devanagari ५०११३३ Bengali ৫০১১৩৩ Tamil ௫௦௧௧௩௩ Thai ๕๐๑๑๓๓ Tibetan ༥༠༡༡༣༣ Khmer ៥០១១៣៣ Lao ໕໐໑໑໓໓ Burmese ၅၀၁၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 501,131 (gap of 2)
Next prime: 501,139 (gap of 6)

Pair status: twin with 501131, sexy with 501139.

Hex color

#07A58D

RGB(7, 165, 141)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.141.

Address: 0.7.165.141
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.165.141

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 501,133 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 US501,133 on Google Patents ↗ Look up on USPTO ↗