509505 has 8 divisors (see below), whose sum is σ = 815232. Its totient is φ = 271728.

The previous prime is 509477. The next prime is 509513. The reversal of 509505 is 505905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509505 - 2⁶ = 509441 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16969 + ... + 16998.

It is an arithmetic number, because the mean of its divisors is an integer number (101904).

2⁵⁰⁹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

509505 is a deficient number, since it is larger than the sum of its proper divisors (305727).

509505 is a wasteful number, since it uses less digits than its factorization.

509505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33975.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 509505 is about 713.7961893986. The cubic root of 509505 is about 79.8698404293.

Subtracting from 509505 its reverse (505905), we obtain a square (3600 = 60²).

The spelling of 509505 in words is "five hundred nine thousand, five hundred five".