256733925 has 48 divisors (see below), whose sum is σ = 487052160. Its totient is φ = 116893440.

The previous prime is 256733899. The next prime is 256733959. The reversal of 256733925 is 529337652.

It is not a de Polignac number, because 256733925 - 2¹¹ = 256731877 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152991 + ... + 154659.

It is an arithmetic number, because the mean of its divisors is an integer number (10146920).

Almost surely, 2^256733925 is an apocalyptic number.

256733925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256733925 is a deficient number, since it is larger than the sum of its proper divisors (230318235).

256733925 is a wasteful number, since it uses less digits than its factorization.

256733925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1977 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 256733925 is about 16022.9187416026. The cubic root of 256733925 is about 635.5666300291.

The spelling of 256733925 in words is "two hundred fifty-six million, seven hundred thirty-three thousand, nine hundred twenty-five".