258525 has 24 divisors (see below), whose sum is σ = 476160. Its totient is φ = 137520.

The previous prime is 258521. The next prime is 258527. The reversal of 258525 is 525852.

It is not a de Polignac number, because 258525 - 2² = 258521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

258525 is a lucky number.

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 258525.

It is not an unprimeable number, because it can be changed into a prime (258521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (19840).

2²⁵⁸⁵²⁵ is an apocalyptic number.

258525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258525 is a deficient number, since it is larger than the sum of its proper divisors (217635).

258525 is a wasteful number, since it uses less digits than its factorization.

258525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 258525 is about 508.4535377003. The cubic root of 258525 is about 63.7041192368.

The spelling of 258525 in words is "two hundred fifty-eight thousand, five hundred twenty-five".