13628254590625 has 24 divisors (see below), whose sum is σ = 17036534201400. Its totient is φ = 10901127600000.

The previous prime is 13628254590623. The next prime is 13628254590641. The reversal of 13628254590625 is 52609545282631.

It can be written as a sum of positive squares in 12 ways, for example, as 11061683979921 + 2566570610704 = 3325911^2 + 1602052^2 .

It is not a de Polignac number, because 13628254590625 - 2¹ = 13628254590623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13628254590625.

It is not an unprimeable number, because it can be changed into a prime (13628254590623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23086651 + ... + 23669599.

It is an arithmetic number, because the mean of its divisors is an integer number (709855591725).

Almost surely, 2^{13628254590625} is an apocalyptic number.

It is an amenable number.

13628254590625 is a deficient number, since it is larger than the sum of its proper divisors (3408279610775).

13628254590625 is an frugal number, since it uses more digits than its factorization.

13628254590625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590455 (or 590435 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 13628254590625 in words is "thirteen trillion, six hundred twenty-eight billion, two hundred fifty-four million, five hundred ninety thousand, six hundred twenty-five".