257472657 has 12 divisors (see below), whose sum is σ = 400513204. Its totient is φ = 158444640.

The previous prime is 257472617. The next prime is 257472659. The reversal of 257472657 is 756274752.

257472657 is a `hidden beast` number, since 2 + 574 + 7 + 26 + 57 = 666.

257472657 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 2 ways, for example, as 98485776 + 158986881 = 9924^2 + 12609^2 .

It is not a de Polignac number, because 257472657 - 2¹⁰ = 257471633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257472659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100194 + ... + 1100427.

Almost surely, 2^257472657 is an apocalyptic number.

It is an amenable number.

257472657 is a deficient number, since it is larger than the sum of its proper divisors (143040547).

257472657 is a wasteful number, since it uses less digits than its factorization.

257472657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200640 (or 2200637 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 257472657 is about 16045.9545368918. The cubic root of 257472657 is about 636.1756442017.

The spelling of 257472657 in words is "two hundred fifty-seven million, four hundred seventy-two thousand, six hundred fifty-seven".