513631422745650 has 288 divisors, whose sum is σ = 1515188429733888. Its totient is φ = 123708413462400.

The previous prime is 513631422745633. The next prime is 513631422745663. The reversal of 513631422745650 is 56547224136315.

513631422745650 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 3 + 1 + 4 + 2 + 2 + 74 + 565 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1642397199 + ... + 1642709901.

It is an arithmetic number, because the mean of its divisors is an integer number (5261070936576).

Almost surely, 2^{513631422745650} is an apocalyptic number.

513631422745650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513631422745650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757594214866944).

513631422745650 is an abundant number, since it is smaller than the sum of its proper divisors (1001557006988238).

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

513631422745650 is a wasteful number, since it uses less digits than its factorization.

513631422745650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314886 (or 314878 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 513631422745650 in words is "five hundred thirteen trillion, six hundred thirty-one billion, four hundred twenty-two million, seven hundred forty-five thousand, six hundred fifty".