2004351332681 has 2 divisors, whose sum is σ = 2004351332682. Its totient is φ = 2004351332680.

The previous prime is 2004351332651. The next prime is 2004351332723. The reversal of 2004351332681 is 1862331534002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1661727246400 + 342624086281 = 1289080^2 + 585341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2004351332681 is a prime.

It is a super-2 number, since 2×2004351332681² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2004351332611) 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, 1002175666340 + 1002175666341.

It is an arithmetic number, because the mean of its divisors is an integer number (1002175666341).

Almost surely, 2^{2004351332681} is an apocalyptic number.

It is an amenable number.

2004351332681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004351332681 is an equidigital number, since it uses as much as digits as its factorization.

2004351332681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 2004351332681 its reverse (1862331534002), we get a palindrome (3866682866683).

The spelling of 2004351332681 in words is "two trillion, four billion, three hundred fifty-one million, three hundred thirty-two thousand, six hundred eighty-one".