506036516130 has 128 divisors (see below), whose sum is σ = 1429109256960. Its totient is φ = 126978554880.

The previous prime is 506036516129. The next prime is 506036516149. The reversal of 506036516130 is 31615630605.

506036516130 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 3 + 6 + 516 + 130 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30703452 + ... + 30719928.

It is an arithmetic number, because the mean of its divisors is an integer number (11164916070).

Almost surely, 2^506036516130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506036516130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714554628480).

506036516130 is an abundant number, since it is smaller than the sum of its proper divisors (923072740830).

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

506036516130 is a wasteful number, since it uses less digits than its factorization.

506036516130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23201 (or 23195 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 506036516130 in words is "five hundred six billion, thirty-six million, five hundred sixteen thousand, one hundred thirty".