257170125457 has 16 divisors (see below), whose sum is σ = 295805583360. Its totient is φ = 219010109328.

The previous prime is 257170125439. The next prime is 257170125481. The reversal of 257170125457 is 754521071752.

It is a cyclic number.

It is not a de Polignac number, because 257170125457 - 2²⁷ = 257035907729 is a prime.

It is a super-2 number, since 2×257170125457² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257170125257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2530144 + ... + 2629822.

It is an arithmetic number, because the mean of its divisors is an integer number (18487848960).

Almost surely, 2^257170125457 is an apocalyptic number.

It is an amenable number.

257170125457 is a deficient number, since it is larger than the sum of its proper divisors (38635457903).

257170125457 is a wasteful number, since it uses less digits than its factorization.

257170125457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102060.

The product of its (nonzero) digits is 686000, while the sum is 46.

The spelling of 257170125457 in words is "two hundred fifty-seven billion, one hundred seventy million, one hundred twenty-five thousand, four hundred fifty-seven".