505106006006 has 32 divisors (see below), whose sum is σ = 884796659712. Its totient is φ = 211753812960.

The previous prime is 505106005933. The next prime is 505106006011. The reversal of 505106006006 is 600600601505.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505106006006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018295 + ... + 1430781.

It is an arithmetic number, because the mean of its divisors is an integer number (27649895616).

Almost surely, 2^505106006006 is an apocalyptic number.

505106006006 is a deficient number, since it is larger than the sum of its proper divisors (379690653706).

505106006006 is a wasteful number, since it uses less digits than its factorization.

505106006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414404.

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 505106006006 in words is "five hundred five billion, one hundred six million, six thousand, six".