405033121321117 has 2 divisors, whose sum is σ = 405033121321118. Its totient is φ = 405033121321116.

The previous prime is 405033121321079. The next prime is 405033121321201. The reversal of 405033121321117 is 711123121330504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403335765734841 + 1697355586276 = 20083221^2 + 1302826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405033121321117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405033121321217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202516560660558 + 202516560660559.

It is an arithmetic number, because the mean of its divisors is an integer number (202516560660559).

Almost surely, 2^{405033121321117} is an apocalyptic number.

It is an amenable number.

405033121321117 is a deficient number, since it is larger than the sum of its proper divisors (1).

405033121321117 is an equidigital number, since it uses as much as digits as its factorization.

405033121321117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 405033121321117 in words is "four hundred five trillion, thirty-three billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred seventeen".