9972557707361 has 2 divisors, whose sum is σ = 9972557707362. Its totient is φ = 9972557707360.

The previous prime is 9972557707349. The next prime is 9972557707363. The reversal of 9972557707361 is 1637077552799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7536913678336 + 2435644029025 = 2745344^2 + 1560655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9972557707361 is a prime.

Together with 9972557707363, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9972557707291 and 9972557707300.

It is not a weakly prime, because it can be changed into another prime (9972557707363) 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, 4986278853680 + 4986278853681.

It is an arithmetic number, because the mean of its divisors is an integer number (4986278853681).

Almost surely, 2^{9972557707361} is an apocalyptic number.

It is an amenable number.

9972557707361 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972557707361 is an equidigital number, since it uses as much as digits as its factorization.

9972557707361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175032900, while the sum is 68.

The spelling of 9972557707361 in words is "nine trillion, nine hundred seventy-two billion, five hundred fifty-seven million, seven hundred seven thousand, three hundred sixty-one".