258165904081 has 2 divisors, whose sum is σ = 258165904082. Its totient is φ = 258165904080.

The previous prime is 258165904063. The next prime is 258165904093. The reversal of 258165904081 is 180409561852.

258165904081 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., 148483062225 + 109682841856 = 385335^2 + 331184^2 .

It is a cyclic number.

It is not a de Polignac number, because 258165904081 - 2⁷ = 258165903953 is a prime.

It is a super-2 number, since 2×258165904081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258165904001) 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, 129082952040 + 129082952041.

It is an arithmetic number, because the mean of its divisors is an integer number (129082952041).

Almost surely, 2^258165904081 is an apocalyptic number.

It is an amenable number.

258165904081 is a deficient number, since it is larger than the sum of its proper divisors (1).

258165904081 is an equidigital number, since it uses as much as digits as its factorization.

258165904081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 49.

The spelling of 258165904081 in words is "two hundred fifty-eight billion, one hundred sixty-five million, nine hundred four thousand, eighty-one".