506508 has 12 divisors (see below), whose sum is σ = 1181880. Its totient is φ = 168832.

The previous prime is 506507. The next prime is 506531. The reversal of 506508 is 805605.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (506501) 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, 21093 + ... + 21116.

It is an arithmetic number, because the mean of its divisors is an integer number (98490).

2⁵⁰⁶⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

506508 is an abundant number, since it is smaller than the sum of its proper divisors (675372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506508 is a wasteful number, since it uses less digits than its factorization.

506508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42216 (or 42214 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 506508 is about 711.6937543635. The cubic root of 506508 is about 79.7129294467.

The spelling of 506508 in words is "five hundred six thousand, five hundred eight".