258831720257 has 16 divisors (see below), whose sum is σ = 292591284480. Its totient is φ = 226804435200.

The previous prime is 258831720227. The next prime is 258831720271. The reversal of 258831720257 is 752027138852.

It is a cyclic number.

It is not a de Polignac number, because 258831720257 - 2⁶ = 258831720193 is a prime.

It is a super-2 number, since 2×258831720257² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258831720227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494969 + ... + 873302.

It is an arithmetic number, because the mean of its divisors is an integer number (18286955280).

Almost surely, 2^258831720257 is an apocalyptic number.

It is an amenable number.

258831720257 is a deficient number, since it is larger than the sum of its proper divisors (33759564223).

258831720257 is a wasteful number, since it uses less digits than its factorization.

258831720257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368904.

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 258831720257 in words is "two hundred fifty-eight billion, eight hundred thirty-one million, seven hundred twenty thousand, two hundred fifty-seven".