27319638760013 has 2 divisors, whose sum is σ = 27319638760014. Its totient is φ = 27319638760012.

The previous prime is 27319638759949. The next prime is 27319638760027. The reversal of 27319638760013 is 31006783691372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27298399195369 + 21239564644 = 5224787^2 + 145738^2 .

It is a cyclic number.

It is not a de Polignac number, because 27319638760013 - 2⁶ = 27319638759949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27319638760093) 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, 13659819380006 + 13659819380007.

It is an arithmetic number, because the mean of its divisors is an integer number (13659819380007).

Almost surely, 2^{27319638760013} is an apocalyptic number.

It is an amenable number.

27319638760013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27319638760013 is an equidigital number, since it uses as much as digits as its factorization.

27319638760013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 27319638760013 in words is "twenty-seven trillion, three hundred nineteen billion, six hundred thirty-eight million, seven hundred sixty thousand, thirteen".