258667259225 has 72 divisors (see below), whose sum is σ = 359624482560. Its totient is φ = 183971399040.

The previous prime is 258667259219. The next prime is 258667259237. The reversal of 258667259225 is 522952766852.

258667259225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258667259225 - 2²⁴ = 258650482009 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 in 71 ways as a sum of consecutive naturals, for example, 13307864 + ... + 13327286.

It is an arithmetic number, because the mean of its divisors is an integer number (4994784480).

Almost surely, 2^258667259225 is an apocalyptic number.

258667259225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258667259225 is a deficient number, since it is larger than the sum of its proper divisors (100957223335).

258667259225 is a wasteful number, since it uses less digits than its factorization.

258667259225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551 (or 19523 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 59.

The spelling of 258667259225 in words is "two hundred fifty-eight billion, six hundred sixty-seven million, two hundred fifty-nine thousand, two hundred twenty-five".