13012515264 has 168 divisors, whose sum is σ = 40278954240. Its totient is φ = 3696612864.

The previous prime is 13012515253. The next prime is 13012515281. The reversal of 13012515264 is 46251521031.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680169 + ... + 1687895.

It is an arithmetic number, because the mean of its divisors is an integer number (239755680).

Almost surely, 2^13012515264 is an apocalyptic number.

13012515264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139477120).

13012515264 is an abundant number, since it is smaller than the sum of its proper divisors (27266438976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13012515264 is a wasteful number, since it uses less digits than its factorization.

13012515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 13012515264 in words is "thirteen billion, twelve million, five hundred fifteen thousand, two hundred sixty-four".