9972566095909 has 2 divisors, whose sum is σ = 9972566095910. Its totient is φ = 9972566095908.

The previous prime is 9972566095853. The next prime is 9972566096011. The reversal of 9972566095909 is 9095906652799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9566092268100 + 406473827809 = 3092910^2 + 637553^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972566095909 - 2¹³ = 9972566087717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9972566095409) by changing a digit.

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 as a sum of consecutive naturals, namely, 4986283047954 + 4986283047955.

It is an arithmetic number, because the mean of its divisors is an integer number (4986283047955).

Almost surely, 2^{9972566095909} is an apocalyptic number.

It is an amenable number.

9972566095909 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972566095909 is an equidigital number, since it uses as much as digits as its factorization.

9972566095909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 744017400, while the sum is 76.

The spelling of 9972566095909 in words is "nine trillion, nine hundred seventy-two billion, five hundred sixty-six million, ninety-five thousand, nine hundred nine".