509935 has 4 divisors (see below), whose sum is σ = 611928. Its totient is φ = 407944.

The previous prime is 509921. The next prime is 509939. The reversal of 509935 is 539905.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 539905 = 5 ⋅107981.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509935 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509897 and 509906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509939) 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, 50989 + ... + 50998.

It is an arithmetic number, because the mean of its divisors is an integer number (152982).

2⁵⁰⁹⁹³⁵ is an apocalyptic number.

509935 is a deficient number, since it is larger than the sum of its proper divisors (101993).

509935 is a wasteful number, since it uses less digits than its factorization.

509935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101992.

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 509935 is about 714.0973323014. The cubic root of 509935 is about 79.8923029987.

It can be divided in two parts, 509 and 935, that added together give a square (1444 = 38²).

The spelling of 509935 in words is "five hundred nine thousand, nine hundred thirty-five".