2112052052009 has 2 divisors, whose sum is σ = 2112052052010. Its totient is φ = 2112052052008.

The previous prime is 2112052051997. The next prime is 2112052052021. The reversal of 2112052052009 is 9002502502112.

It is a balanced prime because it is at equal distance from previous prime (2112052051997) and next prime (2112052052021).

It can be written as a sum of positive squares in only one way, i.e., 2050704192784 + 61347859225 = 1432028^2 + 247685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112052052009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112052052029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056026026004 + 1056026026005.

It is an arithmetic number, because the mean of its divisors is an integer number (1056026026005).

Almost surely, 2^{2112052052009} is an apocalyptic number.

It is an amenable number.

2112052052009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112052052009 is an equidigital number, since it uses as much as digits as its factorization.

2112052052009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 2112052052009 in words is "two trillion, one hundred twelve billion, fifty-two million, fifty-two thousand, nine".