258516318025 has 81 divisors (see below), whose sum is σ = 379984166901. Its totient is φ = 173961406080.

The previous prime is 258516318023. The next prime is 258516318041. The reversal of 258516318025 is 520813615852.

The square root of 258516318025 is 508445.

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 1414587321 + 257101730704 = 37611^2 + 507052^2 .

It is not a de Polignac number, because 258516318025 - 2¹ = 258516318023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258516318023) 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, 1299076876 + ... + 1299077074.

Almost surely, 2^258516318025 is an apocalyptic number.

258516318025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258516318025 is the 508445-th square number.

258516318025 is the 254223-rd centered octagonal number.

It is an amenable number.

258516318025 is a deficient number, since it is larger than the sum of its proper divisors (121467848876).

258516318025 is an frugal number, since it uses more digits than its factorization.

258516318025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 258516318025 in words is "two hundred fifty-eight billion, five hundred sixteen million, three hundred eighteen thousand, twenty-five".