541563366400961 has 2 divisors, whose sum is σ = 541563366400962. Its totient is φ = 541563366400960.

The previous prime is 541563366400943. The next prime is 541563366401119. The reversal of 541563366400961 is 169004663365145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305796707857936 + 235766658543025 = 17487044^2 + 15354695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-541563366400961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 541563366400961.

It is not a weakly prime, because it can be changed into another prime (541563366405961) 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, 270781683200480 + 270781683200481.

It is an arithmetic number, because the mean of its divisors is an integer number (270781683200481).

Almost surely, 2^{541563366400961} is an apocalyptic number.

It is an amenable number.

541563366400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

541563366400961 is an equidigital number, since it uses as much as digits as its factorization.

541563366400961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41990400, while the sum is 59.

The spelling of 541563366400961 in words is "five hundred forty-one trillion, five hundred sixty-three billion, three hundred sixty-six million, four hundred thousand, nine hundred sixty-one".