Live analysis

500,501

500,501 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.).

500,501 (five hundred thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A315.

Arithmetic Number Cube-Free Deficient Number Evil Number Lazy Caterer Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

500,489 500,490 500,491 500,492 500,493 500,494 500,495 500,496 500,497 500,498 500,499 500,500 500,501 500,502 500,503 500,504 500,505 500,506 500,507 500,508 500,509 500,510 500,511 500,512 500,513

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Properties

Parity: Odd
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 105,005
Square (n²): 250,501,251,001
Cube (n³): 125,376,126,627,251,501
Divisor count: 2
σ(n) — sum of divisors: 500,502
φ(n) — Euler's totient: 500,500

Primality

500,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 500501

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 500,501)

1 × 500501

First multiples

500,501 · 1,001,002 (double) · 1,501,503 · 2,002,004 · 2,502,505 · 3,003,006 · 3,503,507 · 4,004,008 · 4,504,509 · 5,005,010

Sums & aliquot sequence

As a sum of two squares: 215² + 674²

As consecutive integers: 250,250 + 250,251

Continued fraction of √n

√500,501 = [707; (2, 5, 1, 9, 3, 1, 5, 4, 5, 1, 1, 3, 1, 2, 1, 1, 4, 1, 1, 3, 7, 1, 17, 32, …)]

Representations

In words: five hundred thousand five hundred one
Ordinal: 500501st
Binary: 1111010001100010101
Octal: 1721425
Hexadecimal: 0x7A315
Base64: B6MV
One's complement: 4,294,466,794 (32-bit)
Scientific notation: 5.00501 × 10⁵
As a duration: 500,501 s = 5 days, 19 hours, 1 minute, 41 seconds

In other bases

ternary (3) 221102120002

quaternary (4) 1322030111

quinary (5) 112004001

senary (6) 14421045

septenary (7) 4153121

nonary (9) 842502

undecimal (11) 312041

duodecimal (12) 201785

tridecimal (13) 146a71

tetradecimal (14) d0581

pentadecimal (15) 9d46b

As an angle

500,501° = 1,390 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵φφαʹ
Chinese: 五十萬零五百零一
Chinese (financial): 伍拾萬零伍佰零壹

In other modern scripts

Eastern Arabic ٥٠٠٥٠١ Devanagari ५००५०१ Bengali ৫০০৫০১ Tamil ௫௦௦௫௦௧ Thai ๕๐๐๕๐๑ Tibetan ༥༠༠༥༠༡ Khmer ៥០០៥០១ Lao ໕໐໐໕໐໑ Burmese ၅၀၀၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 500,483 (gap of 18)
Next prime: 500,509 (gap of 8)

Hex color

#07A315

RGB(7, 163, 21)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.163.21.

Address: 0.7.163.21
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.163.21

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 500,501 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 US500,501 on Google Patents ↗ Look up on USPTO ↗