288591187808897 has 2 divisors, whose sum is σ = 288591187808898. Its totient is φ = 288591187808896.

The previous prime is 288591187808843. The next prime is 288591187808921. The reversal of 288591187808897 is 798808781195882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266410328170561 + 22180859638336 = 16322081^2 + 4709656^2 .

It is a cyclic number.

It is not a de Polignac number, because 288591187808897 - 2³⁴ = 288574007939713 is a prime.

It is not a weakly prime, because it can be changed into another prime (288591184808897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144295593904448 + 144295593904449.

It is an arithmetic number, because the mean of its divisors is an integer number (144295593904449).

Almost surely, 2^{288591187808897} is an apocalyptic number.

It is an amenable number.

288591187808897 is a deficient number, since it is larger than the sum of its proper divisors (1).

288591187808897 is an equidigital number, since it uses as much as digits as its factorization.

288591187808897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10404495360, while the sum is 89.

The spelling of 288591187808897 in words is "two hundred eighty-eight trillion, five hundred ninety-one billion, one hundred eighty-seven million, eight hundred eight thousand, eight hundred ninety-seven".