288640206289 has 2 divisors, whose sum is σ = 288640206290. Its totient is φ = 288640206288.

The previous prime is 288640206287. The next prime is 288640206359. The reversal of 288640206289 is 982602046882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286537525264 + 2102681025 = 535292^2 + 45855^2 .

It is a cyclic number.

It is not a de Polignac number, because 288640206289 - 2¹ = 288640206287 is a prime.

Together with 288640206287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (288640206287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144320103144 + 144320103145.

It is an arithmetic number, because the mean of its divisors is an integer number (144320103145).

Almost surely, 2^288640206289 is an apocalyptic number.

It is an amenable number.

288640206289 is a deficient number, since it is larger than the sum of its proper divisors (1).

288640206289 is an equidigital number, since it uses as much as digits as its factorization.

288640206289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 288640206289 in words is "two hundred eighty-eight billion, six hundred forty million, two hundred six thousand, two hundred eighty-nine".