258008013 has 12 divisors (see below), whose sum is σ = 372821020. Its totient is φ = 171939456.

The previous prime is 258007999. The next prime is 258008017. The reversal of 258008013 is 310800852.

It is a happy number.

258008013 is a `hidden beast` number, since 2 + 580 + 0 + 80 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119639844 + 138368169 = 10938^2 + 11763^2 .

It is not a de Polignac number, because 258008013 - 2⁶ = 258007949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258008017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35103 + ... + 41811.

Almost surely, 2^258008013 is an apocalyptic number.

It is an amenable number.

258008013 is a deficient number, since it is larger than the sum of its proper divisors (114813007).

258008013 is a wasteful number, since it uses less digits than its factorization.

258008013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 258008013 is about 16062.6278360672. The cubic root of 258008013 is about 636.6162666108.

Adding to 258008013 its reverse (310800852), we get a palindrome (568808865).

The spelling of 258008013 in words is "two hundred fifty-eight million, eight thousand, thirteen".