2543640053761 has 2 divisors, whose sum is σ = 2543640053762. Its totient is φ = 2543640053760.

The previous prime is 2543640053749. The next prime is 2543640053771. The reversal of 2543640053761 is 1673500463452.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1747369378161 + 796270675600 = 1321881^2 + 892340^2 .

It is a cyclic number.

It is not a de Polignac number, because 2543640053761 - 2²⁷ = 2543505836033 is a prime.

It is not a weakly prime, because it can be changed into another prime (2543640053711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1271820026880 + 1271820026881.

It is an arithmetic number, because the mean of its divisors is an integer number (1271820026881).

Almost surely, 2^{2543640053761} is an apocalyptic number.

It is an amenable number.

2543640053761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2543640053761 is an equidigital number, since it uses as much as digits as its factorization.

2543640053761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 2543640053761 in words is "two trillion, five hundred forty-three billion, six hundred forty million, fifty-three thousand, seven hundred sixty-one".