258109722025 has 81 divisors (see below), whose sum is σ = 350603167941. Its totient is φ = 188456244480.

The previous prime is 258109722023. The next prime is 258109722043. The reversal of 258109722025 is 520227901852.

The square root of 258109722025 is 508045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6037445401 + 252072276624 = 77701^2 + 502068^2 .

It is not a de Polignac number, because 258109722025 - 2¹ = 258109722023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258109722023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1856904406 + ... + 1856904544.

Almost surely, 2^258109722025 is an apocalyptic number.

258109722025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258109722025 is the 508045-th square number.

258109722025 is the 254023-rd centered octagonal number.

It is an amenable number.

258109722025 is a deficient number, since it is larger than the sum of its proper divisors (92493445916).

258109722025 is an equidigital number, since it uses as much as digits as its factorization.

258109722025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 258109722025 in words is "two hundred fifty-eight billion, one hundred nine million, seven hundred twenty-two thousand, twenty-five".