11591557288561 has 2 divisors, whose sum is σ = 11591557288562. Its totient is φ = 11591557288560.

The previous prime is 11591557288543. The next prime is 11591557288613. The reversal of 11591557288561 is 16588275519511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5943995156961 + 5647562131600 = 2438031^2 + 2376460^2 .

It is a cyclic number.

It is not a de Polignac number, because 11591557288561 - 2⁵ = 11591557288529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11591557288493 and 11591557288502.

It is not a weakly prime, because it can be changed into another prime (11591557288501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5795778644280 + 5795778644281.

It is an arithmetic number, because the mean of its divisors is an integer number (5795778644281).

Almost surely, 2^{11591557288561} is an apocalyptic number.

It is an amenable number.

11591557288561 is a deficient number, since it is larger than the sum of its proper divisors (1).

11591557288561 is an equidigital number, since it uses as much as digits as its factorization.

11591557288561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240000, while the sum is 64.

The spelling of 11591557288561 in words is "eleven trillion, five hundred ninety-one billion, five hundred fifty-seven million, two hundred eighty-eight thousand, five hundred sixty-one".