9009009009041 has 2 divisors, whose sum is σ = 9009009009042. Its totient is φ = 9009009009040.

The previous prime is 9009009008981. The next prime is 9009009009083. The reversal of 9009009009041 is 1409009009009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4517767254016 + 4491241755025 = 2125504^2 + 2119255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9009009009041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9009009009041.

It is not a weakly prime, because it can be changed into another prime (9009009009241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504504504520 + 4504504504521.

It is an arithmetic number, because the mean of its divisors is an integer number (4504504504521).

Almost surely, 2^{9009009009041} is an apocalyptic number.

It is an amenable number.

9009009009041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009009009041 is an equidigital number, since it uses as much as digits as its factorization.

9009009009041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 41.

The spelling of 9009009009041 in words is "nine trillion, nine billion, nine million, nine thousand, forty-one".