509539 has 4 divisors (see below), whose sum is σ = 511056. Its totient is φ = 508024.

The previous prime is 509521. The next prime is 509543. The reversal of 509539 is 935905.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 935905 = 5 ⋅187181.

It is a cyclic number.

It is not a de Polignac number, because 509539 - 2⁹ = 509027 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 509539.

It is not an unprimeable number, because it can be changed into a prime (509549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

2⁵⁰⁹⁵³⁹ is an apocalyptic number.

509539 is a deficient number, since it is larger than the sum of its proper divisors (1517).

509539 is a wasteful number, since it uses less digits than its factorization.

509539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516.

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

The square root of 509539 is about 713.8200053235. The cubic root of 509539 is about 79.8716169994.

The spelling of 509539 in words is "five hundred nine thousand, five hundred thirty-nine".