9972682052257 has 2 divisors, whose sum is σ = 9972682052258. Its totient is φ = 9972682052256.

The previous prime is 9972682052239. The next prime is 9972682052273. The reversal of 9972682052257 is 7522502862799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8979797350161 + 992884702096 = 2996631^2 + 996436^2 .

It is a cyclic number.

It is not a de Polignac number, because 9972682052257 - 2⁷ = 9972682052129 is a prime.

It is not a weakly prime, because it can be changed into another prime (9972682052287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986341026128 + 4986341026129.

It is an arithmetic number, because the mean of its divisors is an integer number (4986341026129).

Almost surely, 2^{9972682052257} is an apocalyptic number.

It is an amenable number.

9972682052257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972682052257 is an equidigital number, since it uses as much as digits as its factorization.

9972682052257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 76204800, while the sum is 64.

The spelling of 9972682052257 in words is "nine trillion, nine hundred seventy-two billion, six hundred eighty-two million, fifty-two thousand, two hundred fifty-seven".