506006005055 has 16 divisors (see below), whose sum is σ = 610165484544. Its totient is φ = 402836436000.

The previous prime is 506006005027. The next prime is 506006005061. The reversal of 506006005055 is 550500600605.

It is not a de Polignac number, because 506006005055 - 2¹⁶ = 506005939519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 824582 + ... + 1300748.

It is an arithmetic number, because the mean of its divisors is an integer number (38135342784).

Almost surely, 2^506006005055 is an apocalyptic number.

506006005055 is a deficient number, since it is larger than the sum of its proper divisors (104159479489).

506006005055 is a wasteful number, since it uses less digits than its factorization.

506006005055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477206.

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 506006005055 in words is "five hundred six billion, six million, five thousand, fifty-five".