1006314055073 has 2 divisors, whose sum is σ = 1006314055074. Its totient is φ = 1006314055072.

The previous prime is 1006314055051. The next prime is 1006314055133. The reversal of 1006314055073 is 3705504136001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 864661936384 + 141652118689 = 929872^2 + 376367^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006314055073 - 2²² = 1006309860769 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1006314055003) 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, 503157027536 + 503157027537.

It is an arithmetic number, because the mean of its divisors is an integer number (503157027537).

Almost surely, 2^{1006314055073} is an apocalyptic number.

It is an amenable number.

1006314055073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006314055073 is an equidigital number, since it uses as much as digits as its factorization.

1006314055073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 1006314055073 in words is "one trillion, six billion, three hundred fourteen million, fifty-five thousand, seventy-three".