2957681663977 has 2 divisors, whose sum is σ = 2957681663978. Its totient is φ = 2957681663976.

The previous prime is 2957681663957. The next prime is 2957681664073. The reversal of 2957681663977 is 7793661867592.

2957681663977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2486411770896 + 471269893081 = 1576836^2 + 686491^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957681663977 - 2¹⁹ = 2957681139689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2957681663917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478840831988 + 1478840831989.

It is an arithmetic number, because the mean of its divisors is an integer number (1478840831989).

Almost surely, 2^{2957681663977} is an apocalyptic number.

It is an amenable number.

2957681663977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957681663977 is an equidigital number, since it uses as much as digits as its factorization.

2957681663977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440270720, while the sum is 76.

The spelling of 2957681663977 in words is "two trillion, nine hundred fifty-seven billion, six hundred eighty-one million, six hundred sixty-three thousand, nine hundred seventy-seven".