257631413 has 16 divisors (see below), whose sum is σ = 300945456. Its totient is φ = 218357760.

The previous prime is 257631391. The next prime is 257631433. The reversal of 257631413 is 314136752.

It can be written as a sum of positive squares in 8 ways, for example, as 36276529 + 221354884 = 6023^2 + 14878^2 .

It is a cyclic number.

It is not a de Polignac number, because 257631413 - 2¹² = 257627317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257631413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257631433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5156 + ... + 23277.

It is an arithmetic number, because the mean of its divisors is an integer number (18809091).

Almost surely, 2^257631413 is an apocalyptic number.

It is an amenable number.

257631413 is a deficient number, since it is larger than the sum of its proper divisors (43314043).

257631413 is a wasteful number, since it uses less digits than its factorization.

257631413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28504.

The product of its digits is 15120, while the sum is 32.

The square root of 257631413 is about 16050.9006912385. The cubic root of 257631413 is about 636.3063712867.

The spelling of 257631413 in words is "two hundred fifty-seven million, six hundred thirty-one thousand, four hundred thirteen".