10624431265 has 32 divisors (see below), whose sum is σ = 15435235584. Its totient is φ = 6853447680.

The previous prime is 10624431211. The next prime is 10624431281. The reversal of 10624431265 is 56213442601.

10624431265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10624431265 - 2⁷ = 10624431137 is a prime.

It is a super-2 number, since 2×10624431265² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10624431265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003097 + ... + 2008393.

It is an arithmetic number, because the mean of its divisors is an integer number (482351112).

Almost surely, 2^10624431265 is an apocalyptic number.

It is an amenable number.

10624431265 is a deficient number, since it is larger than the sum of its proper divisors (4810804319).

10624431265 is a wasteful number, since it uses less digits than its factorization.

10624431265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 10624431265 its reverse (56213442601), we get a palindrome (66837873866).

The spelling of 10624431265 in words is "ten billion, six hundred twenty-four million, four hundred thirty-one thousand, two hundred sixty-five".