258964513 has 2 divisors, whose sum is σ = 258964514. Its totient is φ = 258964512.

The previous prime is 258964493. The next prime is 258964523. The reversal of 258964513 is 315469852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202293729 + 56670784 = 14223^2 + 7528^2 .

It is a cyclic number.

It is not a de Polignac number, because 258964513 - 2⁹ = 258964001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258964513.

It is not a weakly prime, because it can be changed into another prime (258964523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129482256 + 129482257.

It is an arithmetic number, because the mean of its divisors is an integer number (129482257).

Almost surely, 2^258964513 is an apocalyptic number.

It is an amenable number.

258964513 is a deficient number, since it is larger than the sum of its proper divisors (1).

258964513 is an equidigital number, since it uses as much as digits as its factorization.

258964513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 43.

The square root of 258964513 is about 16092.3743742184. The cubic root of 258964513 is about 637.4019948277.

The spelling of 258964513 in words is "two hundred fifty-eight million, nine hundred sixty-four thousand, five hundred thirteen".