27505459621193 has 2 divisors, whose sum is σ = 27505459621194. Its totient is φ = 27505459621192.

The previous prime is 27505459621177. The next prime is 27505459621229. The reversal of 27505459621193 is 39112695450572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24381997222969 + 3123462398224 = 4937813^2 + 1767332^2 .

It is a cyclic number.

It is not a de Polignac number, because 27505459621193 - 2⁴ = 27505459621177 is a prime.

It is not a weakly prime, because it can be changed into another prime (27505459621103) 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, 13752729810596 + 13752729810597.

It is an arithmetic number, because the mean of its divisors is an integer number (13752729810597).

Almost surely, 2^{27505459621193} is an apocalyptic number.

It is an amenable number.

27505459621193 is a deficient number, since it is larger than the sum of its proper divisors (1).

27505459621193 is an equidigital number, since it uses as much as digits as its factorization.

27505459621193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412000, while the sum is 59.

The spelling of 27505459621193 in words is "twenty-seven trillion, five hundred five billion, four hundred fifty-nine million, six hundred twenty-one thousand, one hundred ninety-three".