405406534012033 has 2 divisors, whose sum is σ = 405406534012034. Its totient is φ = 405406534012032.

The previous prime is 405406534011979. The next prime is 405406534012037. The reversal of 405406534012033 is 330210435604504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357364543111744 + 48041990900289 = 18904088^2 + 6931233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405406534012033 is a prime.

It is not a weakly prime, because it can be changed into another prime (405406534012037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202703267006016 + 202703267006017.

It is an arithmetic number, because the mean of its divisors is an integer number (202703267006017).

Almost surely, 2^{405406534012033} is an apocalyptic number.

It is an amenable number.

405406534012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

405406534012033 is an equidigital number, since it uses as much as digits as its factorization.

405406534012033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 405406534012033 its reverse (330210435604504), we get a palindrome (735616969616537).

The spelling of 405406534012033 in words is "four hundred five trillion, four hundred six billion, five hundred thirty-four million, twelve thousand, thirty-three".