10140561564961 has 2 divisors, whose sum is σ = 10140561564962. Its totient is φ = 10140561564960.

The previous prime is 10140561564949. The next prime is 10140561565027. The reversal of 10140561564961 is 16946516504101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10091543604961 + 49017960000 = 3176719^2 + 221400^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140561564961 - 2⁴¹ = 7941538309409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10140561564901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5070280782480 + 5070280782481.

It is an arithmetic number, because the mean of its divisors is an integer number (5070280782481).

Almost surely, 2^{10140561564961} is an apocalyptic number.

It is an amenable number.

10140561564961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140561564961 is an equidigital number, since it uses as much as digits as its factorization.

10140561564961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 10140561564961 in words is "ten trillion, one hundred forty billion, five hundred sixty-one million, five hundred sixty-four thousand, nine hundred sixty-one".