505510011006 has 96 divisors (see below), whose sum is σ = 1367737373184. Its totient is φ = 121201185600.

The previous prime is 505510010989. The next prime is 505510011011. The reversal of 505510011006 is 600110015505.

It is a super-2 number, since 2×505510011006² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3759730 + ... + 3891861.

It is an arithmetic number, because the mean of its divisors is an integer number (14247264304).

Almost surely, 2^505510011006 is an apocalyptic number.

505510011006 is an abundant number, since it is smaller than the sum of its proper divisors (862227362178).

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

505510011006 is a wasteful number, since it uses less digits than its factorization.

505510011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651638 (or 7651627 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 505510011006 in words is "five hundred five billion, five hundred ten million, eleven thousand, six".