257625973 has 8 divisors (see below), whose sum is σ = 297578880. Its totient is φ = 220428480.

The previous prime is 257625971. The next prime is 257625989. The reversal of 257625973 is 379526752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257625973 - 2¹ = 257625971 is a prime.

It is a super-2 number, since 2×257625973² = 132742283928393458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257625971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688653 + ... + 689026.

It is an arithmetic number, because the mean of its divisors is an integer number (37197360).

Almost surely, 2^257625973 is an apocalyptic number.

It is an amenable number.

257625973 is a deficient number, since it is larger than the sum of its proper divisors (39952907).

257625973 is a wasteful number, since it uses less digits than its factorization.

257625973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377707.

The product of its digits is 793800, while the sum is 46.

The square root of 257625973 is about 16050.7312294487. The cubic root of 257625973 is about 636.3018926260.

The spelling of 257625973 in words is "two hundred fifty-seven million, six hundred twenty-five thousand, nine hundred seventy-three".