258960889413 has 24 divisors (see below), whose sum is σ = 374925387096. Its totient is φ = 172238976000.

The previous prime is 258960889351. The next prime is 258960889417. The reversal of 258960889413 is 314988069852.

258960889413 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 608 + 8 + 9 + 4 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117029124 + 258843860289 = 10818^2 + 508767^2 .

It is not a de Polignac number, because 258960889413 - 2⁶ = 258960889349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258960889417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13124031 + ... + 13143747.

It is an arithmetic number, because the mean of its divisors is an integer number (15621891129).

Almost surely, 2^258960889413 is an apocalyptic number.

It is an amenable number.

258960889413 is a deficient number, since it is larger than the sum of its proper divisors (115964497683).

258960889413 is a wasteful number, since it uses less digits than its factorization.

258960889413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23045 (or 23042 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 258960889413 in words is "two hundred fifty-eight billion, nine hundred sixty million, eight hundred eighty-nine thousand, four hundred thirteen".