580125 has 64 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 230400.

The previous prime is 580093. The next prime is 580133. The reversal of 580125 is 521085.

580125 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 580125 - 2⁵ = 580093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

580125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34117 + ... + 34133.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁵⁸⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

580125 is an abundant number, since it is smaller than the sum of its proper divisors (677859).

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

580125 is a wasteful number, since it uses less digits than its factorization.

580125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 580125 is about 761.6593726857. The cubic root of 580125 is about 83.4014997804.

The spelling of 580125 in words is "five hundred eighty thousand, one hundred twenty-five".