2643552645017 has 2 divisors, whose sum is σ = 2643552645018. Its totient is φ = 2643552645016.

The previous prime is 2643552644969. The next prime is 2643552645031. The reversal of 2643552645017 is 7105462553462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2265193563136 + 378359081881 = 1505056^2 + 615109^2 .

It is a cyclic number.

It is not a de Polignac number, because 2643552645017 - 2⁴⁰ = 1544041017241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2643552645047) 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, 1321776322508 + 1321776322509.

It is an arithmetic number, because the mean of its divisors is an integer number (1321776322509).

Almost surely, 2^{2643552645017} is an apocalyptic number.

It is an amenable number.

2643552645017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2643552645017 is an equidigital number, since it uses as much as digits as its factorization.

2643552645017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048000, while the sum is 50.

The spelling of 2643552645017 in words is "two trillion, six hundred forty-three billion, five hundred fifty-two million, six hundred forty-five thousand, seventeen".