258048013 has 2 divisors, whose sum is σ = 258048014. Its totient is φ = 258048012.

The previous prime is 258047989. The next prime is 258048023. The reversal of 258048013 is 310840852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164403684 + 93644329 = 12822^2 + 9677^2 .

It is a cyclic number.

It is not a de Polignac number, because 258048013 - 2⁹ = 258047501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258048023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129024006 + 129024007.

It is an arithmetic number, because the mean of its divisors is an integer number (129024007).

Almost surely, 2^258048013 is an apocalyptic number.

It is an amenable number.

258048013 is a deficient number, since it is larger than the sum of its proper divisors (1).

258048013 is an equidigital number, since it uses as much as digits as its factorization.

258048013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 258048013 is about 16063.8729140889. The cubic root of 258048013 is about 636.6491639545.

Adding to 258048013 its reverse (310840852), we get a palindrome (568888865).

The spelling of 258048013 in words is "two hundred fifty-eight million, forty-eight thousand, thirteen".