258107689849 has 9 divisors (see below), whose sum is σ = 261297576399. Its totient is φ = 254956299120.

The previous prime is 258107689831. The next prime is 258107689871. The reversal of 258107689849 is 948986701852.

The square root of 258107689849 is 508043.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29547203449 + 228560486400 = 171893^2 + 478080^2 .

It is not a de Polignac number, because 258107689849 - 2⁵ = 258107689817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258107689949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42164509 + ... + 42170629.

Almost surely, 2^258107689849 is an apocalyptic number.

258107689849 is the 508043-rd square number.

258107689849 is the 254022-nd centered octagonal number.

It is an amenable number.

258107689849 is a deficient number, since it is larger than the sum of its proper divisors (3189886550).

258107689849 is an frugal number, since it uses more digits than its factorization.

258107689849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 258107689849 in words is "two hundred fifty-eight billion, one hundred seven million, six hundred eighty-nine thousand, eight hundred forty-nine".