10206564450769 has 2 divisors, whose sum is σ = 10206564450770. Its totient is φ = 10206564450768.

The previous prime is 10206564450763. The next prime is 10206564450773. The reversal of 10206564450769 is 96705446560201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8297925494544 + 1908638956225 = 2880612^2 + 1381535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10206564450769 is a prime.

It is a super-2 number, since 2×10206564450769² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10206564450763) 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, 5103282225384 + 5103282225385.

It is an arithmetic number, because the mean of its divisors is an integer number (5103282225385).

Almost surely, 2^{10206564450769} is an apocalyptic number.

It is an amenable number.

10206564450769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206564450769 is an equidigital number, since it uses as much as digits as its factorization.

10206564450769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 10206564450769 in words is "ten trillion, two hundred six billion, five hundred sixty-four million, four hundred fifty thousand, seven hundred sixty-nine".