257465413 has 2 divisors, whose sum is σ = 257465414. Its totient is φ = 257465412.

The previous prime is 257465401. The next prime is 257465423. The reversal of 257465413 is 314564752.

257465413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215707969 + 41757444 = 14687^2 + 6462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257465413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257465423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128732706 + 128732707.

It is an arithmetic number, because the mean of its divisors is an integer number (128732707).

Almost surely, 2^257465413 is an apocalyptic number.

It is an amenable number.

257465413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257465413 is an equidigital number, since it uses as much as digits as its factorization.

257465413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 37.

The square root of 257465413 is about 16045.7288086269. The cubic root of 257465413 is about 636.1696778729.

The spelling of 257465413 in words is "two hundred fifty-seven million, four hundred sixty-five thousand, four hundred thirteen".