507006 has 32 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 164160.

The previous prime is 506999. The next prime is 507029. The reversal of 507006 is 600705.

507006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 507006.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁵⁰⁷⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

507006 is an abundant number, since it is smaller than the sum of its proper divisors (652194).

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

507006 is a wasteful number, since it uses less digits than its factorization.

507006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 507006 is about 712.0435379947. The cubic root of 507006 is about 79.7390455435.

It can be divided in two parts, 50 and 7006, that added together give a square (7056 = 84²).

The spelling of 507006 in words is "five hundred seven thousand, six".