81831022001 has 2 divisors, whose sum is σ = 81831022002. Its totient is φ = 81831022000.

The previous prime is 81831021977. The next prime is 81831022019. The reversal of 81831022001 is 10022013818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64833381376 + 16997640625 = 254624^2 + 130375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-81831022001 is a prime.

It is not a weakly prime, because it can be changed into another prime (81831022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40915511000 + 40915511001.

It is an arithmetic number, because the mean of its divisors is an integer number (40915511001).

Almost surely, 2^81831022001 is an apocalyptic number.

It is an amenable number.

81831022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

81831022001 is an equidigital number, since it uses as much as digits as its factorization.

81831022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 81831022001 its reverse (10022013818), we get a palindrome (91853035819).

The spelling of 81831022001 in words is "eighty-one billion, eight hundred thirty-one million, twenty-two thousand, one".