506509 has 4 divisors (see below), whose sum is σ = 522880. Its totient is φ = 490140.

The previous prime is 506507. The next prime is 506531. The reversal of 506509 is 905605.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 506509 - 2¹ = 506507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501) 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, 8139 + ... + 8200.

It is an arithmetic number, because the mean of its divisors is an integer number (130720).

2⁵⁰⁶⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

506509 is a deficient number, since it is larger than the sum of its proper divisors (16371).

506509 is a wasteful number, since it uses less digits than its factorization.

506509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16370.

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

The square root of 506509 is about 711.6944569125. The cubic root of 506509 is about 79.7129819058.

The spelling of 506509 in words is "five hundred six thousand, five hundred nine".