823031000081 has 2 divisors, whose sum is σ = 823031000082. Its totient is φ = 823031000080.

The previous prime is 823031000047. The next prime is 823031000101. The reversal of 823031000081 is 180000130328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 666998890000 + 156032110081 = 816700^2 + 395009^2 .

It is a cyclic number.

It is not a de Polignac number, because 823031000081 - 2⁶ = 823031000017 is a prime.

It is a super-2 number, since 2×823031000081² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 823031000081.

It is not a weakly prime, because it can be changed into another prime (823031300081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411515500040 + 411515500041.

It is an arithmetic number, because the mean of its divisors is an integer number (411515500041).

Almost surely, 2^823031000081 is an apocalyptic number.

It is an amenable number.

823031000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

823031000081 is an equidigital number, since it uses as much as digits as its factorization.

823031000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 823031000081 in words is "eight hundred twenty-three billion, thirty-one million, eighty-one", and thus it is an aban number.