819992801 has 2 divisors, whose sum is σ = 819992802. Its totient is φ = 819992800.

The previous prime is 819992717. The next prime is 819992809. The reversal of 819992801 is 108299918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819390625 + 602176 = 28625^2 + 776^2 .

It is a cyclic number.

It is not a de Polignac number, because 819992801 - 2¹⁸ = 819730657 is a prime.

It is not a weakly prime, because it can be changed into another prime (819992809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409996400 + 409996401.

It is an arithmetic number, because the mean of its divisors is an integer number (409996401).

Almost surely, 2^819992801 is an apocalyptic number.

It is an amenable number.

819992801 is a deficient number, since it is larger than the sum of its proper divisors (1).

819992801 is an equidigital number, since it uses as much as digits as its factorization.

819992801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 47.

The square root of 819992801 is about 28635.5164262843. The cubic root of 819992801 is about 935.9874232032.

The spelling of 819992801 in words is "eight hundred nineteen million, nine hundred ninety-two thousand, eight hundred one".