509916 has 24 divisors (see below), whose sum is σ = 1298304. Its totient is φ = 154480.

The previous prime is 509911. The next prime is 509921. The reversal of 509916 is 619905.

It is an interprime number because it is at equal distance from previous prime (509911) and next prime (509921).

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 509916.

It is not an unprimeable number, because it can be changed into a prime (509911) 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, 1800 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (54096).

2⁵⁰⁹⁹¹⁶ is an apocalyptic number.

It is an amenable number.

509916 is an abundant number, since it is smaller than the sum of its proper divisors (788388).

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

509916 is a wasteful number, since it uses less digits than its factorization.

509916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 509916 is about 714.0840286689. The cubic root of 509916 is about 79.8913107332.

It can be divided in two parts, 5099 and 16, that added together give a palindrome (5115).

The spelling of 509916 in words is "five hundred nine thousand, nine hundred sixteen".