65575573535561 has 2 divisors, whose sum is σ = 65575573535562. Its totient is φ = 65575573535560.

The previous prime is 65575573535491. The next prime is 65575573535587. The reversal of 65575573535561 is 16553537557556.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55990140814336 + 9585432721225 = 7482656^2 + 3096035^2 .

It is a cyclic number.

It is not a de Polignac number, because 65575573535561 - 2⁴² = 61177527024457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65575573535491 and 65575573535500.

It is not a weakly prime, because it can be changed into another prime (65575503535561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32787786767780 + 32787786767781.

It is an arithmetic number, because the mean of its divisors is an integer number (32787786767781).

Almost surely, 2^{65575573535561} is an apocalyptic number.

It is an amenable number.

65575573535561 is a deficient number, since it is larger than the sum of its proper divisors (1).

65575573535561 is an equidigital number, since it uses as much as digits as its factorization.

65575573535561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1240312500, while the sum is 68.

The spelling of 65575573535561 in words is "sixty-five trillion, five hundred seventy-five billion, five hundred seventy-three million, five hundred thirty-five thousand, five hundred sixty-one".