505505001006 has 24 divisors (see below), whose sum is σ = 1096091259120. Its totient is φ = 168373909536.

The previous prime is 505505000989. The next prime is 505505001019. The reversal of 505505001006 is 600100505505.

505505001006 is a `hidden beast` number, since 5 + 0 + 5 + 50 + 500 + 100 + 6 = 666.

505505001006 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×505505001006² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10622055 + ... + 10669538.

It is an arithmetic number, because the mean of its divisors is an integer number (45670469130).

Almost surely, 2^505505001006 is an apocalyptic number.

505505001006 is an abundant number, since it is smaller than the sum of its proper divisors (590586258114).

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

505505001006 is a wasteful number, since it uses less digits than its factorization.

505505001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292920 (or 21292917 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 505505001006 in words is "five hundred five billion, five hundred five million, one thousand, six".