257057125 has 16 divisors (see below), whose sum is σ = 345486960. Its totient is φ = 189825600.

The previous prime is 257057123. The next prime is 257057161. The reversal of 257057125 is 521750752.

257057125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 136562596 + 120494529 = 11686^2 + 10977^2 .

It is not a de Polignac number, because 257057125 - 2¹ = 257057123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057123) 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, 77470 + ... + 80719.

It is an arithmetic number, because the mean of its divisors is an integer number (21592935).

Almost surely, 2^257057125 is an apocalyptic number.

257057125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257057125 is a deficient number, since it is larger than the sum of its proper divisors (88429835).

257057125 is a wasteful number, since it uses less digits than its factorization.

257057125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158217 (or 158207 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 34.

The square root of 257057125 is about 16033.0011226844. The cubic root of 257057125 is about 635.8332212047.

It can be divided in two parts, 2570 and 57125, that added together give a palindrome (59695).

The spelling of 257057125 in words is "two hundred fifty-seven million, fifty-seven thousand, one hundred twenty-five".