27527493948349 has 2 divisors, whose sum is σ = 27527493948350. Its totient is φ = 27527493948348.

The previous prime is 27527493948307. The next prime is 27527493948359. The reversal of 27527493948349 is 94384939472572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23580318385849 + 3947175562500 = 4855957^2 + 1986750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27527493948349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27527493948359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13763746974174 + 13763746974175.

It is an arithmetic number, because the mean of its divisors is an integer number (13763746974175).

Almost surely, 2^{27527493948349} is an apocalyptic number.

It is an amenable number.

27527493948349 is a deficient number, since it is larger than the sum of its proper divisors (1).

27527493948349 is an equidigital number, since it uses as much as digits as its factorization.

27527493948349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3292047360, while the sum is 76.

The spelling of 27527493948349 in words is "twenty-seven trillion, five hundred twenty-seven billion, four hundred ninety-three million, nine hundred forty-eight thousand, three hundred forty-nine".