509912 has 16 divisors (see below), whose sum is σ = 1029840. Its totient is φ = 235296.

The previous prime is 509911. The next prime is 509921. The reversal of 509912 is 219905.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2348 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (64365).

2⁵⁰⁹⁹¹² is an apocalyptic number.

509912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

509912 is an abundant number, since it is smaller than the sum of its proper divisors (519928).

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

509912 is a wasteful number, since it uses less digits than its factorization.

509912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 509912 is about 714.0812278726. The cubic root of 509912 is about 79.8911018321.

The spelling of 509912 in words is "five hundred nine thousand, nine hundred twelve".