823136441300729 has 2 divisors, whose sum is σ = 823136441300730. Its totient is φ = 823136441300728.

The previous prime is 823136441300717. The next prime is 823136441300773. The reversal of 823136441300729 is 927003144631328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817177862660329 + 5958578640400 = 28586323^2 + 2441020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823136441300729 is a prime.

It is not a weakly prime, because it can be changed into another prime (823136441300429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411568220650364 + 411568220650365.

It is an arithmetic number, because the mean of its divisors is an integer number (411568220650365).

Almost surely, 2^{823136441300729} is an apocalyptic number.

It is an amenable number.

823136441300729 is a deficient number, since it is larger than the sum of its proper divisors (1).

823136441300729 is an equidigital number, since it uses as much as digits as its factorization.

823136441300729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 823136441300729 in words is "eight hundred twenty-three trillion, one hundred thirty-six billion, four hundred forty-one million, three hundred thousand, seven hundred twenty-nine".