1005006011011 has 2 divisors, whose sum is σ = 1005006011012. Its totient is φ = 1005006011010.

The previous prime is 1005006010949. The next prime is 1005006011017. The reversal of 1005006011011 is 1101106005001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1101106005001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005006011011 - 2²⁷ = 1004871793283 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005006011017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502503005505 + 502503005506.

It is an arithmetic number, because the mean of its divisors is an integer number (502503005506).

Almost surely, 2^{1005006011011} is an apocalyptic number.

1005006011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005006011011 is an equidigital number, since it uses as much as digits as its factorization.

1005006011011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 1005006011011 in words is "one trillion, five billion, six million, eleven thousand, eleven".