16564635247241 has 2 divisors, whose sum is σ = 16564635247242. Its totient is φ = 16564635247240.

The previous prime is 16564635247177. The next prime is 16564635247243. The reversal of 16564635247241 is 14274253646561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16272381481216 + 292253766025 = 4033904^2 + 540605^2 .

It is a cyclic number.

It is not a de Polignac number, because 16564635247241 - 2⁶ = 16564635247177 is a prime.

It is a super-2 number, since 2×16564635247241² (a number of 27 digits) contains 22 as substring.

Together with 16564635247243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (16564635247243) 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, 8282317623620 + 8282317623621.

It is an arithmetic number, because the mean of its divisors is an integer number (8282317623621).

Almost surely, 2^{16564635247241} is an apocalyptic number.

It is an amenable number.

16564635247241 is a deficient number, since it is larger than the sum of its proper divisors (1).

16564635247241 is an equidigital number, since it uses as much as digits as its factorization.

16564635247241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29030400, while the sum is 56.

The spelling of 16564635247241 in words is "sixteen trillion, five hundred sixty-four billion, six hundred thirty-five million, two hundred forty-seven thousand, two hundred forty-one".