257945125 has 8 divisors (see below), whose sum is σ = 321915672. Its totient is φ = 206356000.

The previous prime is 257945123. The next prime is 257945137. The reversal of 257945125 is 521549752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35070084 + 222875041 = 5922^2 + 14929^2 .

It is not a de Polignac number, because 257945125 - 2¹ = 257945123 is a prime.

It is a super-2 number, since 2×257945125² = 133071375022531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257945123) 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 7 ways as a sum of consecutive naturals, for example, 1031656 + ... + 1031905.

It is an arithmetic number, because the mean of its divisors is an integer number (40239459).

Almost surely, 2^257945125 is an apocalyptic number.

257945125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257945125 is a deficient number, since it is larger than the sum of its proper divisors (63970547).

257945125 is an equidigital number, since it uses as much as digits as its factorization.

257945125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063576 (or 2063566 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The square root of 257945125 is about 16060.6701292318. The cubic root of 257945125 is about 636.5645385313.

The spelling of 257945125 in words is "two hundred fifty-seven million, nine hundred forty-five thousand, one hundred twenty-five".