2727681168097 has 2 divisors, whose sum is σ = 2727681168098. Its totient is φ = 2727681168096.

The previous prime is 2727681168083. The next prime is 2727681168127. The reversal of 2727681168097 is 7908611867272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088383375376 + 639297792721 = 1445124^2 + 799561^2 .

It is a cyclic number.

It is not a de Polignac number, because 2727681168097 - 2⁷ = 2727681167969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2727681168397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1363840584048 + 1363840584049.

It is an arithmetic number, because the mean of its divisors is an integer number (1363840584049).

Almost surely, 2^{2727681168097} is an apocalyptic number.

It is an amenable number.

2727681168097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2727681168097 is an equidigital number, since it uses as much as digits as its factorization.

2727681168097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28449792, while the sum is 64.

The spelling of 2727681168097 in words is "two trillion, seven hundred twenty-seven billion, six hundred eighty-one million, one hundred sixty-eight thousand, ninety-seven".