256617625 has 32 divisors (see below), whose sum is σ = 351546624. Its totient is φ = 185472000.

The previous prime is 256617623. The next prime is 256617649. The reversal of 256617625 is 526716652.

It is not a de Polignac number, because 256617625 - 2¹ = 256617623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256617623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264892 + ... + 265858.

It is an arithmetic number, because the mean of its divisors is an integer number (10985832).

Almost surely, 2^256617625 is an apocalyptic number.

256617625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256617625 is a deficient number, since it is larger than the sum of its proper divisors (94928999).

256617625 is a wasteful number, since it uses less digits than its factorization.

256617625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1176 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 256617625 is about 16019.2891540168. The cubic root of 256617625 is about 635.4706453591.

The spelling of 256617625 in words is "two hundred fifty-six million, six hundred seventeen thousand, six hundred twenty-five".