506180712 has 64 divisors (see below), whose sum is σ = 1359961920. Its totient is φ = 156423168.

The previous prime is 506180681. The next prime is 506180737. The reversal of 506180712 is 217081605.

It is a self number, because there is not a number n which added to its sum of digits gives 506180712.

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, 18078 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (21249405).

Almost surely, 2^506180712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506180712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679980960).

506180712 is an abundant number, since it is smaller than the sum of its proper divisors (853781208).

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

506180712 is a wasteful number, since it uses less digits than its factorization.

506180712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18610 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 506180712 is about 22498.4602139791. The cubic root of 506180712 is about 796.9575649876.

The spelling of 506180712 in words is "five hundred six million, one hundred eighty thousand, seven hundred twelve".