82631392801 has 2 divisors, whose sum is σ = 82631392802. Its totient is φ = 82631392800.

The previous prime is 82631392783. The next prime is 82631392807. The reversal of 82631392801 is 10829313628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59951032801 + 22680360000 = 244849^2 + 150600^2 .

It is a cyclic number.

It is not a de Polignac number, because 82631392801 - 2¹⁹ = 82630868513 is a prime.

It is not a weakly prime, because it can be changed into another prime (82631392807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41315696400 + 41315696401.

It is an arithmetic number, because the mean of its divisors is an integer number (41315696401).

Almost surely, 2^82631392801 is an apocalyptic number.

It is an amenable number.

82631392801 is a deficient number, since it is larger than the sum of its proper divisors (1).

82631392801 is an equidigital number, since it uses as much as digits as its factorization.

82631392801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 82631392801 in words is "eighty-two billion, six hundred thirty-one million, three hundred ninety-two thousand, eight hundred one".