258125 has 20 divisors (see below), whose sum is σ = 374880. Its totient is φ = 174000.

The previous prime is 258119. The next prime is 258127. The reversal of 258125 is 521852.

It is not a de Polignac number, because 258125 - 2⁴ = 258109 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 258125.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258125.

It is not an unprimeable number, because it can be changed into a prime (258127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4346 + ... + 4404.

It is an arithmetic number, because the mean of its divisors is an integer number (18744).

2²⁵⁸¹²⁵ is an apocalyptic number.

258125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258125 is a deficient number, since it is larger than the sum of its proper divisors (116755).

258125 is an frugal number, since it uses more digits than its factorization.

258125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 258125 is about 508.0600358225. The cubic root of 258125 is about 63.6712471082.

Adding to 258125 its reverse (521852), we get a palindrome (779977).

It can be divided in two parts, 258 and 125, that added together give a palindrome (383).

The spelling of 258125 in words is "two hundred fifty-eight thousand, one hundred twenty-five".