32564160523241 has 2 divisors, whose sum is σ = 32564160523242. Its totient is φ = 32564160523240.

The previous prime is 32564160523229. The next prime is 32564160523247. The reversal of 32564160523241 is 14232506146523.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32562487386025 + 1673137216 = 5706355^2 + 40904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-32564160523241 is a prime.

It is a super-2 number, since 2×32564160523241² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32564160523192 and 32564160523201.

It is not a weakly prime, because it can be changed into another prime (32564160523247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16282080261620 + 16282080261621.

It is an arithmetic number, because the mean of its divisors is an integer number (16282080261621).

Almost surely, 2^{32564160523241} is an apocalyptic number.

It is an amenable number.

32564160523241 is a deficient number, since it is larger than the sum of its proper divisors (1).

32564160523241 is an equidigital number, since it uses as much as digits as its factorization.

32564160523241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 44.

Adding to 32564160523241 its reverse (14232506146523), we get a palindrome (46796666669764).

The spelling of 32564160523241 in words is "thirty-two trillion, five hundred sixty-four billion, one hundred sixty million, five hundred twenty-three thousand, two hundred forty-one".