8052577575089 has 2 divisors, whose sum is σ = 8052577575090. Its totient is φ = 8052577575088.

The previous prime is 8052577575079. The next prime is 8052577575131. The reversal of 8052577575089 is 9805757752508.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7101201676864 + 951375898225 = 2664808^2 + 975385^2 .

It is a cyclic number.

It is not a de Polignac number, because 8052577575089 - 2²⁴ = 8052560797873 is a prime.

It is not a weakly prime, because it can be changed into another prime (8052577575079) 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, 4026288787544 + 4026288787545.

It is an arithmetic number, because the mean of its divisors is an integer number (4026288787545).

Almost surely, 2^{8052577575089} is an apocalyptic number.

It is an amenable number.

8052577575089 is a deficient number, since it is larger than the sum of its proper divisors (1).

8052577575089 is an equidigital number, since it uses as much as digits as its factorization.

8052577575089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960000, while the sum is 68.

The spelling of 8052577575089 in words is "eight trillion, fifty-two billion, five hundred seventy-seven million, five hundred seventy-five thousand, eighty-nine".