257125 has 24 divisors (see below), whose sum is σ = 373464. Its totient is φ = 176000.

The previous prime is 257123. The next prime is 257141. The reversal of 257125 is 521752.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 256036 = 33^2 + 506^2 .

It is not a de Polignac number, because 257125 - 2¹ = 257123 is a prime.

It is a super-2 number, since 2×257125² = 132226531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257096 and 257105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 15133.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2²⁵⁷¹²⁵ is an apocalyptic number.

257125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257125 is a deficient number, since it is larger than the sum of its proper divisors (116339).

257125 is a wasteful number, since it uses less digits than its factorization.

257125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 257125 is about 507.0749451511. The cubic root of 257125 is about 63.5889179431.

Adding to 257125 its reverse (521752), we get a palindrome (778877).

The spelling of 257125 in words is "two hundred fifty-seven thousand, one hundred twenty-five".