1005506005506 has 16 divisors (see below), whose sum is σ = 2053799501184. Its totient is φ = 328037420144.

The previous prime is 1005506005481. The next prime is 1005506005541. The reversal of 1005506005506 is 6055006055001.

It is a super-2 number, since 2×1005506005506² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1782811785 + ... + 1782812348.

It is an arithmetic number, because the mean of its divisors is an integer number (128362468824).

Almost surely, 2^{1005506005506} is an apocalyptic number.

1005506005506 is an abundant number, since it is smaller than the sum of its proper divisors (1048293495678).

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

1005506005506 is a wasteful number, since it uses less digits than its factorization.

1005506005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565624185.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1005506005506 in words is "one trillion, five billion, five hundred six million, five thousand, five hundred six".