1288749884561 has 2 divisors, whose sum is σ = 1288749884562. Its totient is φ = 1288749884560.

The previous prime is 1288749884407. The next prime is 1288749884579. The reversal of 1288749884561 is 1654889478821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1279939246336 + 8810638225 = 1131344^2 + 93865^2 .

It is a cyclic number.

It is not a de Polignac number, because 1288749884561 - 2³⁰ = 1287676142737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1288749884581) 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, 644374942280 + 644374942281.

It is an arithmetic number, because the mean of its divisors is an integer number (644374942281).

Almost surely, 2^{1288749884561} is an apocalyptic number.

It is an amenable number.

1288749884561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288749884561 is an equidigital number, since it uses as much as digits as its factorization.

1288749884561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 247726080, while the sum is 71.

The spelling of 1288749884561 in words is "one trillion, two hundred eighty-eight billion, seven hundred forty-nine million, eight hundred eighty-four thousand, five hundred sixty-one".