27131904192137 has 2 divisors, whose sum is σ = 27131904192138. Its totient is φ = 27131904192136.

The previous prime is 27131904192053. The next prime is 27131904192161. The reversal of 27131904192137 is 73129140913172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13767988354576 + 13363915837561 = 3710524^2 + 3655669^2 .

It is a cyclic number.

It is not a de Polignac number, because 27131904192137 - 2¹² = 27131904188041 is a prime.

It is a super-3 number, since 3×27131904192137³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (27131904191137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13565952096068 + 13565952096069.

It is an arithmetic number, because the mean of its divisors is an integer number (13565952096069).

Almost surely, 2^{27131904192137} is an apocalyptic number.

It is an amenable number.

27131904192137 is a deficient number, since it is larger than the sum of its proper divisors (1).

27131904192137 is an equidigital number, since it uses as much as digits as its factorization.

27131904192137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 50.

The spelling of 27131904192137 in words is "twenty-seven trillion, one hundred thirty-one billion, nine hundred four million, one hundred ninety-two thousand, one hundred thirty-seven".