5036345516561 has 2 divisors, whose sum is σ = 5036345516562. Its totient is φ = 5036345516560.

The previous prime is 5036345516339. The next prime is 5036345516563. The reversal of 5036345516561 is 1656155436305.

5036345516561 is digitally balanced in base 3, 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., 3407771380225 + 1628574136336 = 1846015^2 + 1276156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5036345516561 is a prime.

It is a Sophie Germain prime.

Together with 5036345516563, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (5036345516563) 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, 2518172758280 + 2518172758281.

It is an arithmetic number, because the mean of its divisors is an integer number (2518172758281).

Almost surely, 2^{5036345516561} is an apocalyptic number.

It is an amenable number.

5036345516561 is a deficient number, since it is larger than the sum of its proper divisors (1).

5036345516561 is an equidigital number, since it uses as much as digits as its factorization.

5036345516561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860000, while the sum is 50.

The spelling of 5036345516561 in words is "five trillion, thirty-six billion, three hundred forty-five million, five hundred sixteen thousand, five hundred sixty-one".