506055100506 has 64 divisors (see below), whose sum is σ = 1088398080000. Its totient is φ = 156356234496.

The previous prime is 506055100501. The next prime is 506055100519. The reversal of 506055100506 is 605001550605.

It is a super-2 number, since 2×506055100506² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506055100501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18734146 + ... + 18761138.

It is an arithmetic number, because the mean of its divisors is an integer number (17006220000).

Almost surely, 2^506055100506 is an apocalyptic number.

506055100506 is an abundant number, since it is smaller than the sum of its proper divisors (582342979494).

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

506055100506 is a wasteful number, since it uses less digits than its factorization.

506055100506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 506055100506 in words is "five hundred six billion, fifty-five million, one hundred thousand, five hundred six".