288090681601 has 2 divisors, whose sum is σ = 288090681602. Its totient is φ = 288090681600.

The previous prime is 288090681563. The next prime is 288090681617. The reversal of 288090681601 is 106186090882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274680810000 + 13409871601 = 524100^2 + 115801^2 .

It is a cyclic number.

It is not a de Polignac number, because 288090681601 - 2³⁵ = 253730943233 is a prime.

It is not a weakly prime, because it can be changed into another prime (288090631601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144045340800 + 144045340801.

It is an arithmetic number, because the mean of its divisors is an integer number (144045340801).

Almost surely, 2^288090681601 is an apocalyptic number.

It is an amenable number.

288090681601 is a deficient number, since it is larger than the sum of its proper divisors (1).

288090681601 is an equidigital number, since it uses as much as digits as its factorization.

288090681601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 49.

The spelling of 288090681601 in words is "two hundred eighty-eight billion, ninety million, six hundred eighty-one thousand, six hundred one".