506111216 has 80 divisors (see below), whose sum is σ = 1145739168. Its totient is φ = 214425600.

The previous prime is 506111213. The next prime is 506111231. The reversal of 506111216 is 612111605.

It is a super-2 number, since 2×506111216² = 512297125921997312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506111191 and 506111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506111213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143231 + ... + 146721.

Almost surely, 2^506111216 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 506111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572869584).

506111216 is an abundant number, since it is smaller than the sum of its proper divisors (639627952).

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

506111216 is a wasteful number, since it uses less digits than its factorization.

506111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 506111216 is about 22496.9156997131. The cubic root of 506111216 is about 796.9210905977.

The spelling of 506111216 in words is "five hundred six million, one hundred eleven thousand, two hundred sixteen".