509375 has 12 divisors (see below), whose sum is σ = 640584. Its totient is φ = 405000.

The previous prime is 509363. The next prime is 509389. The reversal of 509375 is 573905.

It is not a de Polignac number, because 509375 - 2⁴ = 509359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3044 + ... + 3206.

It is an arithmetic number, because the mean of its divisors is an integer number (53382).

509375 is a Friedman number, since it can be written as (93+70)*5^5, using all its digits and the basic arithmetic operations.

2⁵⁰⁹³⁷⁵ is an apocalyptic number.

509375 is a deficient number, since it is larger than the sum of its proper divisors (131209).

509375 is an frugal number, since it uses more digits than its factorization.

509375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 509375 is about 713.7051211810. The cubic root of 509375 is about 79.8630469320.

The spelling of 509375 in words is "five hundred nine thousand, three hundred seventy-five".