506013802350336 has 648 divisors, whose sum is σ = 1755990680371200. Its totient is φ = 139565575618560.

The previous prime is 506013802350319. The next prime is 506013802350337. The reversal of 506013802350336 is 633053208310605.

506013802350336 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 1 + 3 + 80 + 235 + 0 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506013802350291 and 506013802350300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506013802350337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26817193510 + ... + 26817212378.

Almost surely, 2^{506013802350336} is an apocalyptic number.

506013802350336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506013802350336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877995340185600).

506013802350336 is an abundant number, since it is smaller than the sum of its proper divisors (1249976878020864).

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

506013802350336 is a wasteful number, since it uses less digits than its factorization.

506013802350336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 506013802350336 in words is "five hundred six trillion, thirteen billion, eight hundred two million, three hundred fifty thousand, three hundred thirty-six".