258825601 has 16 divisors (see below), whose sum is σ = 275270400. Its totient is φ = 242851840.

The previous prime is 258825571. The next prime is 258825607. The reversal of 258825601 is 106528852.

It is a cyclic number.

It is not a de Polignac number, because 258825601 - 2¹³ = 258817409 is a prime.

It is a super-2 number, since 2×258825601² = 133981383466022402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258825607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576225 + ... + 576673.

It is an arithmetic number, because the mean of its divisors is an integer number (17204400).

Almost surely, 2^258825601 is an apocalyptic number.

It is an amenable number.

258825601 is a deficient number, since it is larger than the sum of its proper divisors (16444799).

258825601 is a wasteful number, since it uses less digits than its factorization.

258825601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 258825601 is about 16088.0577137204. The cubic root of 258825601 is about 637.2880041481.

The spelling of 258825601 in words is "two hundred fifty-eight million, eight hundred twenty-five thousand, six hundred one".