257513265 has 12 divisors (see below), whose sum is σ = 446356404. Its totient is φ = 137340384.

The previous prime is 257513261. The next prime is 257513279. The reversal of 257513265 is 562315752.

It can be written as a sum of positive squares in 2 ways, for example, as 91412721 + 166100544 = 9561^2 + 12888^2 .

It is not a de Polignac number, because 257513265 - 2² = 257513261 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257513261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2861214 + ... + 2861303.

It is an arithmetic number, because the mean of its divisors is an integer number (37196367).

Almost surely, 2^257513265 is an apocalyptic number.

It is an amenable number.

257513265 is a deficient number, since it is larger than the sum of its proper divisors (188843139).

257513265 is a wasteful number, since it uses less digits than its factorization.

257513265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722528 (or 5722525 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 257513265 is about 16047.2198526723. The cubic root of 257513265 is about 636.2090878340.

The spelling of 257513265 in words is "two hundred fifty-seven million, five hundred thirteen thousand, two hundred sixty-five".