12531625 has 16 divisors (see below), whose sum is σ = 16183440. Its totient is φ = 9676800.

The previous prime is 12531593. The next prime is 12531637. The reversal of 12531625 is 52613521.

12531625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8003241 + 4528384 = 2829^2 + 2128^2 .

It is not a de Polignac number, because 12531625 - 2⁵ = 12531593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 12531625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^12531625 is an apocalyptic number.

It is an amenable number.

12531625 is a deficient number, since it is larger than the sum of its proper divisors (3651815).

12531625 is an equidigital number, since it uses as much as digits as its factorization.

12531625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3491 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 12531625 is about 3540.0035310717. The cubic root of 12531625 is about 232.2749971839.

Subtracting from 12531625 its sum of digits (25), we obtain a square (12531600 = 3540²).

It can be divided in two parts, 125316 and 25, that multiplied together give a square (3132900 = 1770²).

The spelling of 12531625 in words is "twelve million, five hundred thirty-one thousand, six hundred twenty-five".