12780625 has 45 divisors (see below), whose sum is σ = 19008759. Its totient is φ = 8580000.

The previous prime is 12780613. The next prime is 12780629. The reversal of 12780625 is 52608721.

12780625 = T₇₉₀ + T₇₉₁ + ... + T₈₂₈.

The square root of 12780625 is 3575.

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

12780625 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 7 ways, for example, as 12623809 + 156816 = 3553^2 + 396^2 .

It is not a de Polignac number, because 12780625 - 2⁹ = 12780113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12780629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 983119 + ... + 983131.

Almost surely, 2^12780625 is an apocalyptic number.

12780625 is the 3575-th square number.

12780625 is the 1788-th centered octagonal number.

It is an amenable number.

12780625 is a deficient number, since it is larger than the sum of its proper divisors (6228134).

12780625 is an equidigital number, since it uses as much as digits as its factorization.

12780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 12780625 is about 233.8033326980.

The spelling of 12780625 in words is "twelve million, seven hundred eighty thousand, six hundred twenty-five".