13187825 has 24 divisors (see below), whose sum is σ = 18838080. Its totient is φ = 8971200.

The previous prime is 13187813. The next prime is 13187833. The reversal of 13187825 is 52878131.

It is not a de Polignac number, because 13187825 - 2⁸ = 13187569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 31115 + ... + 31535.

It is an arithmetic number, because the mean of its divisors is an integer number (784920).

Almost surely, 2^13187825 is an apocalyptic number.

It is an amenable number.

13187825 is a deficient number, since it is larger than the sum of its proper divisors (5650255).

13187825 is a wasteful number, since it uses less digits than its factorization.

13187825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 13187825 is about 3631.5045091532. The cubic root of 13187825 is about 236.2604672350.

The spelling of 13187825 in words is "thirteen million, one hundred eighty-seven thousand, eight hundred twenty-five".