505005001006 has 16 divisors (see below), whose sum is σ = 826384594608. Its totient is φ = 229544179200.

The previous prime is 505005000971. The next prime is 505005001013. The reversal of 505005001006 is 600100500505.

It is a super-2 number, since 2×505005001006² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737166 + ... + 2006926.

It is an arithmetic number, because the mean of its divisors is an integer number (51649037163).

Almost surely, 2^505005001006 is an apocalyptic number.

505005001006 is a deficient number, since it is larger than the sum of its proper divisors (321379593602).

505005001006 is a wasteful number, since it uses less digits than its factorization.

505005001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354867.

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 505005001006 in words is "five hundred five billion, five million, one thousand, six".