257634601 has 9 divisors (see below), whose sum is σ = 299828151. Its totient is φ = 220733352.

The previous prime is 257634599. The next prime is 257634617. The reversal of 257634601 is 106436752.

It is a happy number.

The square root of 257634601 is 16051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74736025 + 182898576 = 8645^2 + 13524^2 .

It is not a de Polignac number, because 257634601 - 2¹ = 257634599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257634691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111211 + ... + 113503.

It is an arithmetic number, because the mean of its divisors is an integer number (33314239).

Almost surely, 2^257634601 is an apocalyptic number.

257634601 is the 16051-st square number.

257634601 is the 8026-th centered octagonal number.

It is an amenable number.

257634601 is a deficient number, since it is larger than the sum of its proper divisors (42193550).

257634601 is an frugal number, since it uses more digits than its factorization.

257634601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The cubic root of 257634601 is about 636.3089958843.

The spelling of 257634601 in words is "two hundred fifty-seven million, six hundred thirty-four thousand, six hundred one".