506111100100 has 36 divisors (see below), whose sum is σ = 1136132165700. Its totient is φ = 195463596160.

The previous prime is 506111100083. The next prime is 506111100119. The reversal of 506111100100 is 1001111605.

It can be written as a sum of positive squares in 6 ways, for example, as 20603157444 + 485507942656 = 143538^2 + 696784^2 .

It is a super-2 number, since 2×506111100100² (a number of 24 digits) contains 22 as substring.

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, 87257635 + ... + 87263434.

It is an arithmetic number, because the mean of its divisors is an integer number (31559226825).

Almost surely, 2^506111100100 is an apocalyptic number.

506111100100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506111100100 is an abundant number, since it is smaller than the sum of its proper divisors (630021065600).

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

506111100100 is a wasteful number, since it uses less digits than its factorization.

506111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174521112 (or 174521105 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 506111100100 its reverse (1001111605), we get a palindrome (507112211705).

The spelling of 506111100100 in words is "five hundred six billion, one hundred eleven million, one hundred thousand, one hundred".