506112 has 36 divisors (see below), whose sum is σ = 1349040. Its totient is φ = 168448.

The previous prime is 506101. The next prime is 506113. The reversal of 506112 is 211605.

It is a super-2 number, since 2×506112² = 512298713088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506091 and 506100.

It is not an unprimeable number, because it can be changed into a prime (506113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 439 + ... + 1097.

2⁵⁰⁶¹¹² 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 506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674520).

506112 is an abundant number, since it is smaller than the sum of its proper divisors (842928).

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

506112 is an equidigital number, since it uses as much as digits as its factorization.

506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 506112 is about 711.4154904133. The cubic root of 506112 is about 79.6921502092.

Adding to 506112 its reverse (211605), we get a palindrome (717717).

The spelling of 506112 in words is "five hundred six thousand, one hundred twelve".