506535102600 has 48 divisors (see below), whose sum is σ = 1570258819920. Its totient is φ = 135076027200.

The previous prime is 506535102587. The next prime is 506535102629. The reversal of 506535102600 is 6201535605.

506535102600 is digitally balanced in base 4, 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 11 ways as a sum of consecutive naturals, for example, 422111986 + ... + 422113185.

It is an arithmetic number, because the mean of its divisors is an integer number (32713725415).

Almost surely, 2^506535102600 is an apocalyptic number.

506535102600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506535102600 is an abundant number, since it is smaller than the sum of its proper divisors (1063723717320).

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

506535102600 is a wasteful number, since it uses less digits than its factorization.

506535102600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844225190 (or 844225181 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 506535102600 in words is "five hundred six billion, five hundred thirty-five million, one hundred two thousand, six hundred".