258105825 has 48 divisors (see below), whose sum is σ = 482260800. Its totient is φ = 135302400.

The previous prime is 258105791. The next prime is 258105851. The reversal of 258105825 is 528501852.

258105825 is a `hidden beast` number, since 2 + 581 + 0 + 58 + 25 = 666.

258105825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258105825 - 2⁹ = 258105313 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258105825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36585 + ... + 43065.

It is an arithmetic number, because the mean of its divisors is an integer number (10047100).

Almost surely, 2^258105825 is an apocalyptic number.

258105825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258105825 is a deficient number, since it is larger than the sum of its proper divisors (224154975).

258105825 is a wasteful number, since it uses less digits than its factorization.

258105825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 258105825 is about 16065.6722548420. The cubic root of 258105825 is about 636.6967044784.

The spelling of 258105825 in words is "two hundred fifty-eight million, one hundred five thousand, eight hundred twenty-five".