257930125 has 32 divisors (see below), whose sum is σ = 336720384. Its totient is φ = 197064000.

The previous prime is 257930117. The next prime is 257930129. The reversal of 257930125 is 521039752.

It is not a de Polignac number, because 257930125 - 2³ = 257930117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257930129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252115 + ... + 253135.

It is an arithmetic number, because the mean of its divisors is an integer number (10522512).

Almost surely, 2^257930125 is an apocalyptic number.

257930125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257930125 is a deficient number, since it is larger than the sum of its proper divisors (78790259).

257930125 is a wasteful number, since it uses less digits than its factorization.

257930125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 257930125 is about 16060.2031431735. The cubic root of 257930125 is about 636.5521991456.

Adding to 257930125 its reverse (521039752), we get a palindrome (778969877).

The spelling of 257930125 in words is "two hundred fifty-seven million, nine hundred thirty thousand, one hundred twenty-five".