506531630705100 has 1152 divisors, whose sum is σ = 1988265302876160. Its totient is φ = 96146749440000.

The previous prime is 506531630705081. The next prime is 506531630705123. The reversal of 506531630705100 is 1507036135605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22362428775 + ... + 22362451425.

It is an arithmetic number, because the mean of its divisors is an integer number (1725924742080).

Almost surely, 2^{506531630705100} is an apocalyptic number.

506531630705100 is a gapful number since it is divisible by the number (50) 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 506531630705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994132651438080).

506531630705100 is an abundant number, since it is smaller than the sum of its proper divisors (1481733672171060).

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

506531630705100 is a wasteful number, since it uses less digits than its factorization.

506531630705100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23471 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 506531630705100 in words is "five hundred six trillion, five hundred thirty-one billion, six hundred thirty million, seven hundred five thousand, one hundred".