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504005131 = 7289115571
BaseRepresentation
bin11110000010101…
…000001000001011
31022010101010001201
4132002220020023
52013011131011
6122002325031
715326654500
oct3602501013
91263333051
10504005131
11239552573
12120959777
13805580b6
144ad194a7
152e3a9cc1
hex1e0a820b

504005131 has 12 divisors (see below), whose sum is σ = 592884360. Its totient is φ = 427146720.

The previous prime is 504005129. The next prime is 504005147. The reversal of 504005131 is 131500405.

It is not a de Polignac number, because 504005131 - 21 = 504005129 is a prime.

It is a super-2 number, since 2×5040051312 = 508042344148654322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 504005099 and 504005108.

It is not an unprimeable number, because it can be changed into a prime (504005431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53425 + ... + 62146.

It is an arithmetic number, because the mean of its divisors is an integer number (49407030).

Almost surely, 2504005131 is an apocalyptic number.

504005131 is a deficient number, since it is larger than the sum of its proper divisors (88879229).

504005131 is a wasteful number, since it uses less digits than its factorization.

504005131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115674 (or 115667 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 504005131 is about 22450.0585968055. The cubic root of 504005131 is about 795.8141421710.

Adding to 504005131 its reverse (131500405), we get a palindrome (635505536).

The spelling of 504005131 in words is "five hundred four million, five thousand, one hundred thirty-one".

Divisors: 1 7 49 89 623 4361 115571 808997 5662979 10285819 72000733 504005131