257225097 has 16 divisors (see below), whose sum is σ = 369416960. Its totient is φ = 158678352.

The previous prime is 257225081. The next prime is 257225149. The reversal of 257225097 is 790522752.

It is not a de Polignac number, because 257225097 - 2⁴ = 257225081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257225057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50023 + ... + 54924.

It is an arithmetic number, because the mean of its divisors is an integer number (23088560).

Almost surely, 2^257225097 is an apocalyptic number.

It is an amenable number.

257225097 is a deficient number, since it is larger than the sum of its proper divisors (112191863).

257225097 is a wasteful number, since it uses less digits than its factorization.

257225097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105012.

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 257225097 is about 16038.2385878250. The cubic root of 257225097 is about 635.9716844915.

The spelling of 257225097 in words is "two hundred fifty-seven million, two hundred twenty-five thousand, ninety-seven".