257025057 has 16 divisors (see below), whose sum is σ = 375373440. Its totient is φ = 155708672.

The previous prime is 257025049. The next prime is 257025073. The reversal of 257025057 is 750520752.

It is a cyclic number.

It is not a de Polignac number, because 257025057 - 2³ = 257025049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257025047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85413 + ... + 88370.

It is an arithmetic number, because the mean of its divisors is an integer number (23460840).

Almost surely, 2^257025057 is an apocalyptic number.

It is an amenable number.

257025057 is a deficient number, since it is larger than the sum of its proper divisors (118348383).

257025057 is a wasteful number, since it uses less digits than its factorization.

257025057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173832.

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 257025057 is about 16032.0010291916. The cubic root of 257025057 is about 635.8067799385.

Subtracting from 257025057 its sum of digits (33), we obtain a square (257025024 = 16032²).

The spelling of 257025057 in words is "two hundred fifty-seven million, twenty-five thousand, fifty-seven".