65651561009761 has 2 divisors, whose sum is σ = 65651561009762. Its totient is φ = 65651561009760.

The previous prime is 65651561009693. The next prime is 65651561009777. The reversal of 65651561009761 is 16790016515656.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61260989763600 + 4390571246161 = 7826940^2 + 2095369^2 .

It is a cyclic number.

It is not a de Polignac number, because 65651561009761 - 2¹¹ = 65651561007713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65651561009696 and 65651561009705.

It is not a weakly prime, because it can be changed into another prime (65651561004761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32825780504880 + 32825780504881.

It is an arithmetic number, because the mean of its divisors is an integer number (32825780504881).

Almost surely, 2^{65651561009761} is an apocalyptic number.

It is an amenable number.

65651561009761 is a deficient number, since it is larger than the sum of its proper divisors (1).

65651561009761 is an equidigital number, since it uses as much as digits as its factorization.

65651561009761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206000, while the sum is 58.

The spelling of 65651561009761 in words is "sixty-five trillion, six hundred fifty-one billion, five hundred sixty-one million, nine thousand, seven hundred sixty-one".