506055910100 has 36 divisors (see below), whose sum is σ = 1182613737564. Its totient is φ = 186851412480.

The previous prime is 506055910097. The next prime is 506055910117. The reversal of 506055910100 is 1019550605.

It can be written as a sum of positive squares in 6 ways, for example, as 138511997584 + 367543912516 = 372172^2 + 606254^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194635589 + ... + 194638188.

It is an arithmetic number, because the mean of its divisors is an integer number (32850381599).

Almost surely, 2^506055910100 is an apocalyptic number.

506055910100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506055910100 is an abundant number, since it is smaller than the sum of its proper divisors (676557827464).

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

506055910100 is a wasteful number, since it uses less digits than its factorization.

506055910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389273804 (or 389273797 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

The spelling of 506055910100 in words is "five hundred six billion, fifty-five million, nine hundred ten thousand, one hundred".