257417253 has 24 divisors (see below), whose sum is σ = 386937720. Its totient is φ = 164707200.

The previous prime is 257417233. The next prime is 257417309. The reversal of 257417253 is 352714752.

It can be written as a sum of positive squares in 4 ways, for example, as 142134084 + 115283169 = 11922^2 + 10737^2 .

It is not a de Polignac number, because 257417253 - 2¹² = 257413157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257417233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42303 + ... + 48003.

It is an arithmetic number, because the mean of its divisors is an integer number (16122405).

Almost surely, 2^257417253 is an apocalyptic number.

It is an amenable number.

257417253 is a deficient number, since it is larger than the sum of its proper divisors (129520467).

257417253 is a wasteful number, since it uses less digits than its factorization.

257417253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5906 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 257417253 is about 16044.2280275493. The cubic root of 257417253 is about 636.1300093186.

The spelling of 257417253 in words is "two hundred fifty-seven million, four hundred seventeen thousand, two hundred fifty-three".