506011105500 has 96 divisors (see below), whose sum is σ = 1479375975168. Its totient is φ = 134398600000.

The previous prime is 506011105489. The next prime is 506011105507. The reversal of 506011105500 is 5501110605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506011105507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295494 + ... + 1048493.

It is an arithmetic number, because the mean of its divisors is an integer number (15410166408).

Almost surely, 2^506011105500 is an apocalyptic number.

506011105500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506011105500 is an abundant number, since it is smaller than the sum of its proper divisors (973364869668).

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

506011105500 is a wasteful number, since it uses less digits than its factorization.

506011105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344260 (or 1344248 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 506011105500 in words is "five hundred six billion, eleven million, one hundred five thousand, five hundred".