256516425 has 36 divisors (see below), whose sum is σ = 501222384. Its totient is φ = 124370400.

The previous prime is 256516399. The next prime is 256516433. The reversal of 256516425 is 524615652.

256516425 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 642 + 5 = 666.

It is not a de Polignac number, because 256516425 - 2¹⁶ = 256450889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256516425.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49347 + ... + 54296.

It is an arithmetic number, because the mean of its divisors is an integer number (13922844).

Almost surely, 2^256516425 is an apocalyptic number.

256516425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256516425 is a deficient number, since it is larger than the sum of its proper divisors (244705959).

256516425 is a wasteful number, since it uses less digits than its factorization.

256516425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103670 (or 103662 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 256516425 is about 16016.1301505701. The cubic root of 256516425 is about 635.3870994155.

The spelling of 256516425 in words is "two hundred fifty-six million, five hundred sixteen thousand, four hundred twenty-five".