257434575201 has 12 divisors (see below), whose sum is σ = 372903345828. Its totient is φ = 171136863744.

The previous prime is 257434575197. The next prime is 257434575217. The reversal of 257434575201 is 102575434752.

257434575201 is a `hidden beast` number, since 2 + 5 + 7 + 434 + 5 + 7 + 5 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180794189601 + 76640385600 = 425199^2 + 276840^2 .

It is not a de Polignac number, because 257434575201 - 2² = 257434575197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257434575271) 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, 40512180 + ... + 40518533.

It is an arithmetic number, because the mean of its divisors is an integer number (31075278819).

Almost surely, 2^257434575201 is an apocalyptic number.

It is an amenable number.

257434575201 is a deficient number, since it is larger than the sum of its proper divisors (115468770627).

257434575201 is a wasteful number, since it uses less digits than its factorization.

257434575201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81031072 (or 81031069 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 257434575201 in words is "two hundred fifty-seven billion, four hundred thirty-four million, five hundred seventy-five thousand, two hundred one".