506305631300 has 72 divisors (see below), whose sum is σ = 1256938134144. Its totient is φ = 173410755840.

The previous prime is 506305631287. The next prime is 506305631329. The reversal of 506305631300 is 3136503605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302912 + ... + 1050888.

Almost surely, 2^506305631300 is an apocalyptic number.

506305631300 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 506305631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628469067072).

506305631300 is an abundant number, since it is smaller than the sum of its proper divisors (750632502844).

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

506305631300 is a wasteful number, since it uses less digits than its factorization.

506305631300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748965 (or 748958 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 32.

The spelling of 506305631300 in words is "five hundred six billion, three hundred five million, six hundred thirty-one thousand, three hundred".