258513257 has 2 divisors, whose sum is σ = 258513258. Its totient is φ = 258513256.

The previous prime is 258513239. The next prime is 258513263. The reversal of 258513257 is 752315852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245110336 + 13402921 = 15656^2 + 3661^2 .

It is a cyclic number.

It is not a de Polignac number, because 258513257 - 2²⁰ = 257464681 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258513257.

It is not a weakly prime, because it can be changed into another prime (258513757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129256628 + 129256629.

It is an arithmetic number, because the mean of its divisors is an integer number (129256629).

Almost surely, 2^258513257 is an apocalyptic number.

It is an amenable number.

258513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

258513257 is an equidigital number, since it uses as much as digits as its factorization.

258513257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84000, while the sum is 38.

The square root of 258513257 is about 16078.3474586165. The cubic root of 258513257 is about 637.0315467652.

The spelling of 258513257 in words is "two hundred fifty-eight million, five hundred thirteen thousand, two hundred fifty-seven".