27137930434561 has 2 divisors, whose sum is σ = 27137930434562. Its totient is φ = 27137930434560.

The previous prime is 27137930434501. The next prime is 27137930434709. The reversal of 27137930434561 is 16543403973172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21176793330625 + 5961137103936 = 4601825^2 + 2441544^2 .

It is a cyclic number.

It is not a de Polignac number, because 27137930434561 - 2²¹ = 27137928337409 is a prime.

It is not a weakly prime, because it can be changed into another prime (27137930434501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13568965217280 + 13568965217281.

It is an arithmetic number, because the mean of its divisors is an integer number (13568965217281).

Almost surely, 2^{27137930434561} is an apocalyptic number.

It is an amenable number.

27137930434561 is a deficient number, since it is larger than the sum of its proper divisors (1).

27137930434561 is an equidigital number, since it uses as much as digits as its factorization.

27137930434561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 55.

The spelling of 27137930434561 in words is "twenty-seven trillion, one hundred thirty-seven billion, nine hundred thirty million, four hundred thirty-four thousand, five hundred sixty-one".