10500524013 has 16 divisors (see below), whose sum is σ = 16239618560. Its totient is φ = 5910741936.

The previous prime is 10500523993. The next prime is 10500524051. The reversal of 10500524013 is 31042500501.

It is not a de Polignac number, because 10500524013 - 2²² = 10496329709 is a prime.

It is a super-2 number, since 2×10500524013² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500524813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3730123 + ... + 3732936.

It is an arithmetic number, because the mean of its divisors is an integer number (1014976160).

Almost surely, 2^10500524013 is an apocalyptic number.

It is an amenable number.

10500524013 is a deficient number, since it is larger than the sum of its proper divisors (5739094547).

10500524013 is an equidigital number, since it uses as much as digits as its factorization.

10500524013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463136.

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 10500524013 in words is "ten billion, five hundred million, five hundred twenty-four thousand, thirteen".