27525053028017 has 2 divisors, whose sum is σ = 27525053028018. Its totient is φ = 27525053028016.

The previous prime is 27525053028007. The next prime is 27525053028089. The reversal of 27525053028017 is 71082035052572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14121429106801 + 13403623921216 = 3757849^2 + 3661096^2 .

It is a cyclic number.

It is not a de Polignac number, because 27525053028017 - 2¹⁶ = 27525052962481 is a prime.

It is not a weakly prime, because it can be changed into another prime (27525053028007) 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, 13762526514008 + 13762526514009.

It is an arithmetic number, because the mean of its divisors is an integer number (13762526514009).

Almost surely, 2^{27525053028017} is an apocalyptic number.

It is an amenable number.

27525053028017 is a deficient number, since it is larger than the sum of its proper divisors (1).

27525053028017 is an equidigital number, since it uses as much as digits as its factorization.

27525053028017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176000, while the sum is 47.

The spelling of 27525053028017 in words is "twenty-seven trillion, five hundred twenty-five billion, fifty-three million, twenty-eight thousand, seventeen".