258768048037 has 2 divisors, whose sum is σ = 258768048038. Its totient is φ = 258768048036.

The previous prime is 258768047921. The next prime is 258768048043. The reversal of 258768048037 is 730840867852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155260428961 + 103507619076 = 394031^2 + 321726^2 .

It is a cyclic number.

It is not a de Polignac number, because 258768048037 - 2¹¹ = 258768045989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258768048047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129384024018 + 129384024019.

It is an arithmetic number, because the mean of its divisors is an integer number (129384024019).

Almost surely, 2^258768048037 is an apocalyptic number.

It is an amenable number.

258768048037 is a deficient number, since it is larger than the sum of its proper divisors (1).

258768048037 is an equidigital number, since it uses as much as digits as its factorization.

258768048037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 258768048037 in words is "two hundred fifty-eight billion, seven hundred sixty-eight million, forty-eight thousand, thirty-seven".