565125664545073 has 2 divisors, whose sum is σ = 565125664545074. Its totient is φ = 565125664545072.

The previous prime is 565125664545023. The next prime is 565125664545119. The reversal of 565125664545073 is 370545466521565.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488825037734544 + 76300626810529 = 22109388^2 + 8735023^2 .

It is a cyclic number.

It is not a de Polignac number, because 565125664545073 - 2⁴¹ = 562926641289521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 565125664544996 and 565125664545014.

It is not a weakly prime, because it can be changed into another prime (565125664545023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282562832272536 + 282562832272537.

It is an arithmetic number, because the mean of its divisors is an integer number (282562832272537).

Almost surely, 2^{565125664545073} is an apocalyptic number.

It is an amenable number.

565125664545073 is a deficient number, since it is larger than the sum of its proper divisors (1).

565125664545073 is an equidigital number, since it uses as much as digits as its factorization.

565125664545073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600000, while the sum is 64.

The spelling of 565125664545073 in words is "five hundred sixty-five trillion, one hundred twenty-five billion, six hundred sixty-four million, five hundred forty-five thousand, seventy-three".