12577025 has 24 divisors (see below), whose sum is σ = 16733304. Its totient is φ = 9344000.

The previous prime is 12576989. The next prime is 12577043. The reversal of 12577025 is 52077521.

It can be written as a sum of positive squares in 12 ways, for example, as 410881 + 12166144 = 641^2 + 3488^2 .

It is not a de Polignac number, because 12577025 - 2⁶ = 12576961 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 42779 + ... + 43071.

It is an arithmetic number, because the mean of its divisors is an integer number (697221).

It is the magic constant of a 293 × 293 magic square.

Almost surely, 2^12577025 is an apocalyptic number.

It is an amenable number.

12577025 is a deficient number, since it is larger than the sum of its proper divisors (4156279).

12577025 is a wasteful number, since it uses less digits than its factorization.

12577025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 12577025 is about 3546.4101567642. The cubic root of 12577025 is about 232.5551570683. Note that the first 3 decimals are identical.

The spelling of 12577025 in words is "twelve million, five hundred seventy-seven thousand, twenty-five".