258018282025 has 81 divisors (see below), whose sum is σ = 389680978743. Its totient is φ = 168966151200.

The previous prime is 258018282023. The next prime is 258018282043. The reversal of 258018282025 is 520282810852.

The square root of 258018282025 is 507955.

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., 92886581529 + 165131700496 = 304773^2 + 406364^2 .

It is not a de Polignac number, because 258018282025 - 2¹ = 258018282023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258018282023) 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, 408903460 + ... + 408904090.

Almost surely, 2^258018282025 is an apocalyptic number.

258018282025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258018282025 is the 507955-th square number.

258018282025 is the 253978-th centered octagonal number.

It is an amenable number.

258018282025 is a deficient number, since it is larger than the sum of its proper divisors (131662696718).

258018282025 is an frugal number, since it uses more digits than its factorization.

258018282025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The spelling of 258018282025 in words is "two hundred fifty-eight billion, eighteen million, two hundred eighty-two thousand, twenty-five".