258427125 has 64 divisors (see below), whose sum is σ = 521314560. Its totient is φ = 125280000.

The previous prime is 258427123. The next prime is 258427153. The reversal of 258427125 is 521724852.

It is a happy number.

258427125 is a `hidden beast` number, since 2 + 584 + 2 + 71 + 2 + 5 = 666.

It is not a de Polignac number, because 258427125 - 2¹ = 258427123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258427125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258427123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33645 + ... + 40605.

It is an arithmetic number, because the mean of its divisors is an integer number (8145540).

Almost surely, 2^258427125 is an apocalyptic number.

258427125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258427125 is an abundant number, since it is smaller than the sum of its proper divisors (262887435).

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

258427125 is a wasteful number, since it uses less digits than its factorization.

258427125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6980 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 258427125 is about 16075.6687263703. The cubic root of 258427125 is about 636.9607897285.

The spelling of 258427125 in words is "two hundred fifty-eight million, four hundred twenty-seven thousand, one hundred twenty-five".