257573625 has 16 divisors (see below), whose sum is σ = 428603136. Its totient is φ = 137372400.

The previous prime is 257573593. The next prime is 257573629. The reversal of 257573625 is 526375752.

It is a happy number.

It is not a de Polignac number, because 257573625 - 2⁵ = 257573593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257573629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343057 + ... + 343806.

It is an arithmetic number, because the mean of its divisors is an integer number (26787696).

Almost surely, 2^257573625 is an apocalyptic number.

257573625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257573625 is a deficient number, since it is larger than the sum of its proper divisors (171029511).

257573625 is an equidigital number, since it uses as much as digits as its factorization.

257573625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686881 (or 686871 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 257573625 is about 16049.1004420809. The cubic root of 257573625 is about 636.2587921738.

The spelling of 257573625 in words is "two hundred fifty-seven million, five hundred seventy-three thousand, six hundred twenty-five".