258001713 has 32 divisors (see below), whose sum is σ = 389825280. Its totient is φ = 168618240.

The previous prime is 258001697. The next prime is 258001769. The reversal of 258001713 is 317100852.

258001713 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 258001713 - 2⁴ = 258001697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (258001013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313843 + ... + 314663.

It is an arithmetic number, because the mean of its divisors is an integer number (12182040).

Almost surely, 2^258001713 is an apocalyptic number.

It is an amenable number.

258001713 is a deficient number, since it is larger than the sum of its proper divisors (131823567).

258001713 is a wasteful number, since it uses less digits than its factorization.

258001713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 258001713 is about 16062.4317274814. The cubic root of 258001713 is about 636.6110849693.

The spelling of 258001713 in words is "two hundred fifty-eight million, one thousand, seven hundred thirteen".