258364125 has 48 divisors (see below), whose sum is σ = 468711360. Its totient is φ = 136917600.

The previous prime is 258364111. The next prime is 258364151. The reversal of 258364125 is 521463852.

258364125 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 641 + 2 + 5 = 666.

It is not a de Polignac number, because 258364125 - 2⁶ = 258364061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258364125.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 200734 + ... + 202016.

It is an arithmetic number, because the mean of its divisors is an integer number (9764820).

Almost surely, 2^258364125 is an apocalyptic number.

258364125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258364125 is a deficient number, since it is larger than the sum of its proper divisors (210347235).

258364125 is a wasteful number, since it uses less digits than its factorization.

258364125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1470 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 258364125 is about 16073.7091239079. The cubic root of 258364125 is about 636.9090255660.

The spelling of 258364125 in words is "two hundred fifty-eight million, three hundred sixty-four thousand, one hundred twenty-five".