509826 has 16 divisors (see below), whose sum is σ = 1052928. Its totient is φ = 164400.

The previous prime is 509801. The next prime is 509833. The reversal of 509826 is 628905.

509826 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 509793 and 509802.

It is an unprimeable number.

509826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (65808).

2⁵⁰⁹⁸²⁶ is an apocalyptic number.

509826 is an abundant number, since it is smaller than the sum of its proper divisors (543102).

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

509826 is a wasteful number, since it uses less digits than its factorization.

509826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 509826 is about 714.0210080943. The cubic root of 509826 is about 79.8866101937.

Subtracting from 509826 its sum of digits (30), we obtain a square (509796 = 714²).

The spelling of 509826 in words is "five hundred nine thousand, eight hundred twenty-six".