506051105500 has 96 divisors (see below), whose sum is σ = 1108609407360. Its totient is φ = 201800102400.

The previous prime is 506051105491. The next prime is 506051105501. The reversal of 506051105500 is 5501150605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506051105501) 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, 413777889 + ... + 413779111.

It is an arithmetic number, because the mean of its divisors is an integer number (11548014660).

Almost surely, 2^506051105500 is an apocalyptic number.

506051105500 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 506051105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554304703680).

506051105500 is an abundant number, since it is smaller than the sum of its proper divisors (602558301860).

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

506051105500 is a wasteful number, since it uses less digits than its factorization.

506051105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 506051105500 in words is "five hundred six billion, fifty-one million, one hundred five thousand, five hundred".