507012 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 146080.

The previous prime is 506999. The next prime is 507029. The reversal of 507012 is 210705.

It is a happy number.

It is a super-2 number, since 2×507012² = 514122336288, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 506982 and 507000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507012.

It is an unprimeable number.

507012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁵⁰⁷⁰¹² 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 507012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

507012 is an abundant number, since it is smaller than the sum of its proper divisors (847740).

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

507012 is a wasteful number, since it uses less digits than its factorization.

507012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 507012 is about 712.0477512077. The cubic root of 507012 is about 79.7393600910.

Adding to 507012 its reverse (210705), we get a palindrome (717717).

The spelling of 507012 in words is "five hundred seven thousand, twelve".