2957681664073 has 2 divisors, whose sum is σ = 2957681664074. Its totient is φ = 2957681664072.

The previous prime is 2957681663977. The next prime is 2957681664107. The reversal of 2957681664073 is 3704661867592.

2957681664073 is digitally balanced in base 3, 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., 2410728233104 + 546953430969 = 1552652^2 + 739563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2957681664073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2957681663996 and 2957681664014.

It is not a weakly prime, because it can be changed into another prime (2957681664673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478840832036 + 1478840832037.

It is an arithmetic number, because the mean of its divisors is an integer number (1478840832037).

It is a 1-persistent number, because it is pandigital, but 2⋅2957681664073 = 5915363328146 is not.

Almost surely, 2^{2957681664073} is an apocalyptic number.

It is an amenable number.

2957681664073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957681664073 is an equidigital number, since it uses as much as digits as its factorization.

2957681664073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 2957681664073 in words is "two trillion, nine hundred fifty-seven billion, six hundred eighty-one million, six hundred sixty-four thousand, seventy-three".