257683125 has 80 divisors (see below), whose sum is σ = 508337280. Its totient is φ = 113568000.

The previous prime is 257683123. The next prime is 257683147. The reversal of 257683125 is 521386752.

It is not a de Polignac number, because 257683125 - 2¹ = 257683123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257683121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 380287 + ... + 380963.

It is an arithmetic number, because the mean of its divisors is an integer number (6354216).

Almost surely, 2^257683125 is an apocalyptic number.

257683125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257683125 is a deficient number, since it is larger than the sum of its proper divisors (250654155).

257683125 is an equidigital number, since it uses as much as digits as its factorization.

257683125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 257683125 is about 16052.5114857458. The cubic root of 257683125 is about 636.3489417602.

The spelling of 257683125 in words is "two hundred fifty-seven million, six hundred eighty-three thousand, one hundred twenty-five".