13024515625 has 63 divisors (see below), whose sum is σ = 18113225179. Its totient is φ = 9358250000.

The previous prime is 13024515587. The next prime is 13024515649. The reversal of 13024515625 is 52651542031.

The square root of 13024515625 is 114125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 11410726041 + 1613789584 = 106821^2 + 40172^2 .

It is not a de Polignac number, because 13024515625 - 2²³ = 13016127017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 156921834 + ... + 156921916.

Almost surely, 2^13024515625 is an apocalyptic number.

13024515625 is the 114125-th square number.

13024515625 is the 57063-rd centered octagonal number.

It is an amenable number.

13024515625 is a deficient number, since it is larger than the sum of its proper divisors (5088709554).

13024515625 is an frugal number, since it uses more digits than its factorization.

13024515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 13024515625 in words is "thirteen billion, twenty-four million, five hundred fifteen thousand, six hundred twenty-five".