509875 has 8 divisors (see below), whose sum is σ = 636480. Its totient is φ = 407800.

The previous prime is 509867. The next prime is 509879. The reversal of 509875 is 578905.

509875 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 509875 - 2³ = 509867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509875.

It is not an unprimeable number, because it can be changed into a prime (509879) 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 7 ways as a sum of consecutive naturals, for example, 1915 + ... + 2164.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

2⁵⁰⁹⁸⁷⁵ is an apocalyptic number.

509875 is a deficient number, since it is larger than the sum of its proper divisors (126605).

509875 is an equidigital number, since it uses as much as digits as its factorization.

509875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 509875 is about 714.0553199858. The cubic root of 509875 is about 79.8891694449.

The spelling of 509875 in words is "five hundred nine thousand, eight hundred seventy-five".