10364564102273 has 2 divisors, whose sum is σ = 10364564102274. Its totient is φ = 10364564102272.

The previous prime is 10364564102261. The next prime is 10364564102309. The reversal of 10364564102273 is 37220146546301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6338148634624 + 4026415467649 = 2517568^2 + 2006593^2 .

It is an emirp because it is prime and its reverse (37220146546301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10364564102273 - 2¹⁰ = 10364564101249 is a prime.

It is a super-2 number, since 2×10364564102273² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10364564102173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5182282051136 + 5182282051137.

It is an arithmetic number, because the mean of its divisors is an integer number (5182282051137).

Almost surely, 2^{10364564102273} is an apocalyptic number.

It is an amenable number.

10364564102273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10364564102273 is an equidigital number, since it uses as much as digits as its factorization.

10364564102273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 10364564102273 in words is "ten trillion, three hundred sixty-four billion, five hundred sixty-four million, one hundred two thousand, two hundred seventy-three".