258253875 has 96 divisors (see below), whose sum is σ = 521277120. Its totient is φ = 121920000.

The previous prime is 258253873. The next prime is 258253921. The reversal of 258253875 is 578352852.

258253875 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 258253875 - 2¹ = 258253873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 258253875.

It is not an unprimeable number, because it can be changed into a prime (258253873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507121 + ... + 507629.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^258253875 is an apocalyptic number.

258253875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258253875 is an abundant number, since it is smaller than the sum of its proper divisors (263023245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258253875 is a wasteful number, since it uses less digits than its factorization.

258253875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 258253875 is about 16070.2792446180. The cubic root of 258253875 is about 636.8184180297.

The spelling of 258253875 in words is "two hundred fifty-eight million, two hundred fifty-three thousand, eight hundred seventy-five".