27682008947497 has 2 divisors, whose sum is σ = 27682008947498. Its totient is φ = 27682008947496.

The previous prime is 27682008947447. The next prime is 27682008947513. The reversal of 27682008947497 is 79474980028672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22235647889961 + 5446361057536 = 4715469^2 + 2333744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27682008947497 is a prime.

It is not a weakly prime, because it can be changed into another prime (27682008947447) 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, 13841004473748 + 13841004473749.

It is an arithmetic number, because the mean of its divisors is an integer number (13841004473749).

Almost surely, 2^{27682008947497} is an apocalyptic number.

It is an amenable number.

27682008947497 is a deficient number, since it is larger than the sum of its proper divisors (1).

27682008947497 is an equidigital number, since it uses as much as digits as its factorization.

27682008947497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 682795008, while the sum is 73.

The spelling of 27682008947497 in words is "twenty-seven trillion, six hundred eighty-two billion, eight million, nine hundred forty-seven thousand, four hundred ninety-seven".