9257164398721 has 2 divisors, whose sum is σ = 9257164398722. Its totient is φ = 9257164398720.

The previous prime is 9257164398673. The next prime is 9257164398733. The reversal of 9257164398721 is 1278934617529.

9257164398721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8831975634496 + 425188764225 = 2971864^2 + 652065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9257164398721 is a prime.

It is not a weakly prime, because it can be changed into another prime (9257144398721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4628582199360 + 4628582199361.

It is an arithmetic number, because the mean of its divisors is an integer number (4628582199361).

Almost surely, 2^{9257164398721} is an apocalyptic number.

It is an amenable number.

9257164398721 is a deficient number, since it is larger than the sum of its proper divisors (1).

9257164398721 is an equidigital number, since it uses as much as digits as its factorization.

9257164398721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45722880, while the sum is 64.

The spelling of 9257164398721 in words is "nine trillion, two hundred fifty-seven billion, one hundred sixty-four million, three hundred ninety-eight thousand, seven hundred twenty-one".