258086570495329 has 3 divisors (see below), whose sum is σ = 258086586560403. Its totient is φ = 258086554430256.

The previous prime is 258086570495297. The next prime is 258086570495503. The reversal of 258086570495329 is 923594075680852.

The square root of 258086570495329 is 16065073.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 88020141429025 + 170066429066304 = 9381905^2 + 13040952^2 .

It is not a de Polignac number, because 258086570495329 - 2⁵ = 258086570495297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258086570495129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8032537 + ... + 24097609.

It is an arithmetic number, because the mean of its divisors is an integer number (86028862186801).

Almost surely, 2^{258086570495329} is an apocalyptic number.

258086570495329 is the 16065073-rd square number.

258086570495329 is the 8032537-th centered octagonal number.

It is an amenable number.

258086570495329 is a deficient number, since it is larger than the sum of its proper divisors (16065074).

258086570495329 is an frugal number, since it uses more digits than its factorization.

258086570495329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32130146 (or 16065073 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 73.

The spelling of 258086570495329 in words is "two hundred fifty-eight trillion, eighty-six billion, five hundred seventy million, four hundred ninety-five thousand, three hundred twenty-nine".