2811636806353 has 2 divisors, whose sum is σ = 2811636806354. Its totient is φ = 2811636806352.

The previous prime is 2811636806327. The next prime is 2811636806369. The reversal of 2811636806353 is 3536086361182.

2811636806353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2210241209344 + 601395597009 = 1486688^2 + 775497^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2811636806353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2811636806353.

It is not a weakly prime, because it can be changed into another prime (2811636806383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1405818403176 + 1405818403177.

It is an arithmetic number, because the mean of its divisors is an integer number (1405818403177).

Almost surely, 2^{2811636806353} is an apocalyptic number.

It is an amenable number.

2811636806353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2811636806353 is an equidigital number, since it uses as much as digits as its factorization.

2811636806353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 2811636806353 in words is "two trillion, eight hundred eleven billion, six hundred thirty-six million, eight hundred six thousand, three hundred fifty-three".