505609 has 16 divisors (see below), whose sum is σ = 604800. Its totient is φ = 418176.

The previous prime is 505607. The next prime is 505613. The reversal of 505609 is 906505.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 505609 - 2¹ = 505607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505601) 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 15 ways as a sum of consecutive naturals, for example, 5637 + ... + 5725.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁵⁰⁵⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

505609 is a deficient number, since it is larger than the sum of its proper divisors (99191).

505609 is a wasteful number, since it uses less digits than its factorization.

505609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 505609 is about 711.0618819765. The cubic root of 505609 is about 79.6657407462.

The spelling of 505609 in words is "five hundred five thousand, six hundred nine".