13015312564 has 12 divisors (see below), whose sum is σ = 22777925184. Its totient is φ = 6507333944.

The previous prime is 13015312547. The next prime is 13015312567. The reversal of 13015312564 is 46521351031.

13015312564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13015312564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015312567) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25899 + ... + 163405.

It is an arithmetic number, because the mean of its divisors is an integer number (1898160432).

Almost surely, 2^13015312564 is an apocalyptic number.

It is an amenable number.

13015312564 is a deficient number, since it is larger than the sum of its proper divisors (9762612620).

13015312564 is a wasteful number, since it uses less digits than its factorization.

13015312564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161174 (or 161172 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 13015312564 its reverse (46521351031), we get a palindrome (59536663595).

The spelling of 13015312564 in words is "thirteen billion, fifteen million, three hundred twelve thousand, five hundred sixty-four".