27525053028089 has 2 divisors, whose sum is σ = 27525053028090. Its totient is φ = 27525053028088.

The previous prime is 27525053028017. The next prime is 27525053028091. The reversal of 27525053028089 is 98082035052572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23400632256400 + 4124420771689 = 4837420^2 + 2030867^2 .

It is a cyclic number.

It is not a de Polignac number, because 27525053028089 - 2²⁸ = 27524784592633 is a prime.

It is a super-2 number, since 2×27525053028089² (a number of 28 digits) contains 22 as substring.

Together with 27525053028091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27525053228089) 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, 13762526514044 + 13762526514045.

It is an arithmetic number, because the mean of its divisors is an integer number (13762526514045).

Almost surely, 2^{27525053028089} is an apocalyptic number.

It is an amenable number.

27525053028089 is a deficient number, since it is larger than the sum of its proper divisors (1).

27525053028089 is an equidigital number, since it uses as much as digits as its factorization.

27525053028089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 27525053028089 in words is "twenty-seven trillion, five hundred twenty-five billion, fifty-three million, twenty-eight thousand, eighty-nine".