13257513825 has 48 divisors (see below), whose sum is σ = 22453949760. Its totient is φ = 6898510080.

The previous prime is 13257513823. The next prime is 13257513839. The reversal of 13257513825 is 52831575231.

13257513825 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 13257513825 - 2¹ = 13257513823 is a prime.

It is a super-2 number, since 2×13257513825² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13257513823) 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 47 ways as a sum of consecutive naturals, for example, 3910231 + ... + 3913619.

It is an arithmetic number, because the mean of its divisors is an integer number (467790620).

Almost surely, 2^13257513825 is an apocalyptic number.

13257513825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13257513825 is a deficient number, since it is larger than the sum of its proper divisors (9196435935).

13257513825 is a wasteful number, since it uses less digits than its factorization.

13257513825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4653 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The spelling of 13257513825 in words is "thirteen billion, two hundred fifty-seven million, five hundred thirteen thousand, eight hundred twenty-five".