506616012 has 96 divisors (see below), whose sum is σ = 1549578240. Its totient is φ = 140071680.

The previous prime is 506616007. The next prime is 506616053. The reversal of 506616012 is 210616605.

It is a happy number.

506616012 is a `hidden beast` number, since 50 + 6 + 6 + 1 + 601 + 2 = 666.

It is a super-2 number, since 2×506616012² = 513319567229568288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12628 + ... + 34244.

It is an arithmetic number, because the mean of its divisors is an integer number (16141440).

Almost surely, 2^506616012 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 506616012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774789120).

506616012 is an abundant number, since it is smaller than the sum of its proper divisors (1042962228).

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

506616012 is a wasteful number, since it uses less digits than its factorization.

506616012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21668 (or 21660 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 506616012 is about 22508.1321304101. The cubic root of 506616012 is about 797.1859526112.

The spelling of 506616012 in words is "five hundred six million, six hundred sixteen thousand, twelve".