16564713349901 has 2 divisors, whose sum is σ = 16564713349902. Its totient is φ = 16564713349900.

The previous prime is 16564713349889. The next prime is 16564713349903. The reversal of 16564713349901 is 10994331746561.

16564713349901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12381256727401 + 4183456622500 = 3518701^2 + 2045350^2 .

It is a cyclic number.

It is not a de Polignac number, because 16564713349901 - 2¹⁴ = 16564713333517 is a prime.

Together with 16564713349903, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16564713349903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8282356674950 + 8282356674951.

It is an arithmetic number, because the mean of its divisors is an integer number (8282356674951).

Almost surely, 2^{16564713349901} is an apocalyptic number.

It is an amenable number.

16564713349901 is a deficient number, since it is larger than the sum of its proper divisors (1).

16564713349901 is an equidigital number, since it uses as much as digits as its factorization.

16564713349901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 16564713349901 in words is "sixteen trillion, five hundred sixty-four billion, seven hundred thirteen million, three hundred forty-nine thousand, nine hundred one".