506085056 has 56 divisors (see below), whose sum is σ = 1026261600. Its totient is φ = 247560192.

The previous prime is 506085037. The next prime is 506085071. The reversal of 506085056 is 650580605.

It is a super-2 number, since 2×506085056² = 512244167813046272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695765 + ... + 696491.

It is an arithmetic number, because the mean of its divisors is an integer number (18326100).

Almost surely, 2^506085056 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 506085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513130800).

506085056 is an abundant number, since it is smaller than the sum of its proper divisors (520176544).

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

506085056 is a wasteful number, since it uses less digits than its factorization.

506085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 506085056 is about 22496.3342791665. The cubic root of 506085056 is about 796.9073598772.

The spelling of 506085056 in words is "five hundred six million, eighty-five thousand, fifty-six".