506505516282 has 80 divisors (see below), whose sum is σ = 1211957683200. Its totient is φ = 157754731680.

The previous prime is 506505516263. The next prime is 506505516299. The reversal of 506505516282 is 282615505605.

506505516282 is a `hidden beast` number, since 5 + 0 + 6 + 50 + 5 + 516 + 2 + 82 = 666.

It is a super-3 number, since 3×506505516282³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1593282 + ... + 1884557.

It is an arithmetic number, because the mean of its divisors is an integer number (15149471040).

Almost surely, 2^506505516282 is an apocalyptic number.

506505516282 is an abundant number, since it is smaller than the sum of its proper divisors (705452166918).

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

506505516282 is a wasteful number, since it uses less digits than its factorization.

506505516282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477913 (or 3477904 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 506505516282 in words is "five hundred six billion, five hundred five million, five hundred sixteen thousand, two hundred eighty-two".