258046728289 has 21 divisors (see below), whose sum is σ = 301257565651. Its totient is φ = 221033562960.

The previous prime is 258046728283. The next prime is 258046728319. The reversal of 258046728289 is 982827640852.

The square root of 258046728289 is 507983.

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., 110467822689 + 147578905600 = 332367^2 + 384160^2 .

It is not a de Polignac number, because 258046728289 - 2⁷ = 258046728161 is a prime.

It is a super-2 number, since 2×258046728289² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258046728283) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 174237429 + ... + 174238909.

Almost surely, 2^258046728289 is an apocalyptic number.

258046728289 is the 507983-rd square number.

258046728289 is the 253992-nd centered octagonal number.

It is an amenable number.

258046728289 is a deficient number, since it is larger than the sum of its proper divisors (43210837362).

258046728289 is an frugal number, since it uses more digits than its factorization.

258046728289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 258046728289 in words is "two hundred fifty-eight billion, forty-six million, seven hundred twenty-eight thousand, two hundred eighty-nine".