505055500506 has 64 divisors (see below), whose sum is σ = 1161299462400. Its totient is φ = 162511272000.

The previous prime is 505055500501. The next prime is 505055500507. The reversal of 505055500506 is 605005550505.

505055500506 is a `hidden beast` number, since 5 + 0 + 50 + 5 + 550 + 0 + 50 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505055500501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7720696 + ... + 7785836.

It is an arithmetic number, because the mean of its divisors is an integer number (18145304100).

Almost surely, 2^505055500506 is an apocalyptic number.

505055500506 is an abundant number, since it is smaller than the sum of its proper divisors (656243961894).

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

505055500506 is a wasteful number, since it uses less digits than its factorization.

505055500506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70132 (or 70126 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505055500506 in words is "five hundred five billion, fifty-five million, five hundred thousand, five hundred six".