1005055005085 has 16 divisors (see below), whose sum is σ = 1218571559856. Its totient is φ = 795707947008.

The previous prime is 1005055005079. The next prime is 1005055005121. The reversal of 1005055005085 is 5805005505001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 92699545156 + 912355459929 = 304466^2 + 955173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005055005085 - 2¹¹ = 1005055003037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005055005085.

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 15 ways as a sum of consecutive naturals, for example, 9810547 + ... + 9912463.

It is an arithmetic number, because the mean of its divisors is an integer number (76160722491).

Almost surely, 2^{1005055005085} is an apocalyptic number.

It is an amenable number.

1005055005085 is a deficient number, since it is larger than the sum of its proper divisors (213516554771).

1005055005085 is a wasteful number, since it uses less digits than its factorization.

1005055005085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122352.

The product of its (nonzero) digits is 25000, while the sum is 34.

The spelling of 1005055005085 in words is "one trillion, five billion, fifty-five million, five thousand, eighty-five".