27577252097 has 2 divisors, whose sum is σ = 27577252098. Its totient is φ = 27577252096.

The previous prime is 27577252063. The next prime is 27577252169. The reversal of 27577252097 is 79025277572.

It is a Cunningham number, because it is equal to 166064²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27577252096 + 1 = 166064^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 27577252097 - 2²⁴ = 27560474881 is a prime.

It is not a weakly prime, because it can be changed into another prime (27577272097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13788626048 + 13788626049.

It is an arithmetic number, because the mean of its divisors is an integer number (13788626049).

Almost surely, 2^27577252097 is an apocalyptic number.

It is an amenable number.

27577252097 is a deficient number, since it is larger than the sum of its proper divisors (1).

27577252097 is an equidigital number, since it uses as much as digits as its factorization.

27577252097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 27577252097 in words is "twenty-seven billion, five hundred seventy-seven million, two hundred fifty-two thousand, ninety-seven".