505263661056 has 1680 divisors, whose sum is σ = 2024844433920. Its totient is φ = 122624409600.

The previous prime is 505263661039. The next prime is 505263661069. The reversal of 505263661056 is 650166362505.

505263661056 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 636 + 6 + 1 + 0 + 5 + 6 = 666.

505263661056 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16298827761 + ... + 16298827791.

It is an arithmetic number, because the mean of its divisors is an integer number (1205264544).

Almost surely, 2^505263661056 is an apocalyptic number.

505263661056 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 505263661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012422216960).

505263661056 is an abundant number, since it is smaller than the sum of its proper divisors (1519580772864).

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

505263661056 is a wasteful number, since it uses less digits than its factorization.

505263661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 505263661056 in words is "five hundred five billion, two hundred sixty-three million, six hundred sixty-one thousand, fifty-six".