288017247968221 has 2 divisors, whose sum is σ = 288017247968222. Its totient is φ = 288017247968220.

The previous prime is 288017247968171. The next prime is 288017247968237. The reversal of 288017247968221 is 122869742710882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276157558404121 + 11859689564100 = 16617989^2 + 3443790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-288017247968221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288017247978221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144008623984110 + 144008623984111.

It is an arithmetic number, because the mean of its divisors is an integer number (144008623984111).

Almost surely, 2^{288017247968221} is an apocalyptic number.

It is an amenable number.

288017247968221 is a deficient number, since it is larger than the sum of its proper divisors (1).

288017247968221 is an equidigital number, since it uses as much as digits as its factorization.

288017247968221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86704128, while the sum is 67.

The spelling of 288017247968221 in words is "two hundred eighty-eight trillion, seventeen billion, two hundred forty-seven million, nine hundred sixty-eight thousand, two hundred twenty-one".