501 (number)

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This article is about the number. For other uses, see 501 (disambiguation).
← 500 501 502 →
Cardinal five hundred one
Ordinal 501st
(five hundred and first)
Factorization 3 × 167
Roman numeral DI
Binary 1111101012
Ternary 2001203
Quaternary 133114
Quinary 40015
Senary 21536
Octal 7658
Duodecimal 35912
Hexadecimal 1F516
Vigesimal 15120
Base 36 DX36

501 is the natural number following 500 and followed by 502.

501 is the sum of the first eighteen primes.[1] There are 501 degree-8 polynomials with integer coefficients, all of whose roots are in the unit disk.[2] There are 501 ways of partitioning the digits from 0 to 9 into two sets, each of which contains at least two digits,[3] and 501 ways of partitioning a set of five elements into any number of ordered sequences.[4] 501 is also a figurate number based on the 5-orthoplex or 5-dimensional cross polytope.[5]

In the gematria of Eleazar of Worms, the Hebrew words "temunah" (image) and "parsuf 'adam" (human face) both had the numerological value of 501. Eleazar used this equivalence to argue that, in several Biblical passages, God appeared to His prophets in the form of a human face.[6]

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