1005055055006 has 16 divisors (see below), whose sum is σ = 1586952518400. Its totient is φ = 476071665048.

The previous prime is 1005055054981. The next prime is 1005055055009. The reversal of 1005055055006 is 6005505505001.

It is a super-2 number, since 2×1005055055006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005055055009) by changing a digit.

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, 3147755 + ... + 3452313.

It is an arithmetic number, because the mean of its divisors is an integer number (99184532400).

Almost surely, 2^{1005055055006} is an apocalyptic number.

1005055055006 is a deficient number, since it is larger than the sum of its proper divisors (581897463394).

1005055055006 is a wasteful number, since it uses less digits than its factorization.

1005055055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391423.

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 1005055055006 in words is "one trillion, five billion, fifty-five million, fifty-five thousand, six".