256390625 has 28 divisors (see below), whose sum is σ = 326948940. Its totient is φ = 201000000.

The previous prime is 256390619. The next prime is 256390679. The reversal of 256390625 is 526093652.

256390625 is digitally balanced in base 2, 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 14 ways, for example, as 77018176 + 179372449 = 8776^2 + 13393^2 .

It is a sliding number, since 256390625 = 390625 + 256000000 and 1/390625 + 1/256000000 = 0.00000256390625.

It is not a de Polignac number, because 256390625 - 2⁴ = 256390609 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 952991 + ... + 953259.

Almost surely, 2^256390625 is an apocalyptic number.

256390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256390625 is a deficient number, since it is larger than the sum of its proper divisors (70558315).

256390625 is an frugal number, since it uses more digits than its factorization.

256390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 256390625 is about 16012.2023781865. The cubic root of 256390625 is about 635.2832142325.

It can be divided in two parts, 256 and 390625, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 256390625 in words is "two hundred fifty-six million, three hundred ninety thousand, six hundred twenty-five".