331065824801 has 2 divisors, whose sum is σ = 331065824802. Its totient is φ = 331065824800.

The previous prime is 331065824773. The next prime is 331065824849. The reversal of 331065824801 is 108428560133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299586549025 + 31479275776 = 547345^2 + 177424^2 .

It is a cyclic number.

It is not a de Polignac number, because 331065824801 - 2³⁸ = 56187917857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331065824851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165532912400 + 165532912401.

It is an arithmetic number, because the mean of its divisors is an integer number (165532912401).

Almost surely, 2^331065824801 is an apocalyptic number.

It is an amenable number.

331065824801 is a deficient number, since it is larger than the sum of its proper divisors (1).

331065824801 is an equidigital number, since it uses as much as digits as its factorization.

331065824801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 331065824801 in words is "three hundred thirty-one billion, sixty-five million, eight hundred twenty-four thousand, eight hundred one".