257955025 has 24 divisors (see below), whose sum is σ = 343772640. Its totient is φ = 191304960.

The previous prime is 257955023. The next prime is 257955037. The reversal of 257955025 is 520559752.

It is not a de Polignac number, because 257955025 - 2¹ = 257955023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257955023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23946 + ... + 33004.

It is an arithmetic number, because the mean of its divisors is an integer number (14323860).

Almost surely, 2^257955025 is an apocalyptic number.

257955025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257955025 is a deficient number, since it is larger than the sum of its proper divisors (85817615).

257955025 is a wasteful number, since it uses less digits than its factorization.

257955025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 40.

The square root of 257955025 is about 16060.9783325923. The cubic root of 257955025 is about 636.5726822639.

The spelling of 257955025 in words is "two hundred fifty-seven million, nine hundred fifty-five thousand, twenty-five".