258749008561 has 2 divisors, whose sum is σ = 258749008562. Its totient is φ = 258749008560.

The previous prime is 258749008489. The next prime is 258749008607. The reversal of 258749008561 is 165800947852.

It is a happy number.

258749008561 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., 258699390625 + 49617936 = 508625^2 + 7044^2 .

It is a cyclic number.

It is not a de Polignac number, because 258749008561 - 2¹¹ = 258749006513 is a prime.

It is not a weakly prime, because it can be changed into another prime (258749008061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129374504280 + 129374504281.

It is an arithmetic number, because the mean of its divisors is an integer number (129374504281).

Almost surely, 2^258749008561 is an apocalyptic number.

It is an amenable number.

258749008561 is a deficient number, since it is larger than the sum of its proper divisors (1).

258749008561 is an equidigital number, since it uses as much as digits as its factorization.

258749008561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 258749008561 in words is "two hundred fifty-eight billion, seven hundred forty-nine million, eight thousand, five hundred sixty-one".