3332117105953 has 2 divisors, whose sum is σ = 3332117105954. Its totient is φ = 3332117105952.

The previous prime is 3332117105951. The next prime is 3332117105981. The reversal of 3332117105953 is 3595017112333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2161464516864 + 1170652589089 = 1470192^2 + 1081967^2 .

It is a cyclic number.

It is not a de Polignac number, because 3332117105953 - 2¹ = 3332117105951 is a prime.

It is a super-2 number, since 2×3332117105953² (a number of 26 digits) contains 22 as substring.

Together with 3332117105951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3332117105951) 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, 1666058552976 + 1666058552977.

It is an arithmetic number, because the mean of its divisors is an integer number (1666058552977).

Almost surely, 2^{3332117105953} is an apocalyptic number.

It is an amenable number.

3332117105953 is a deficient number, since it is larger than the sum of its proper divisors (1).

3332117105953 is an equidigital number, since it uses as much as digits as its factorization.

3332117105953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 255150, while the sum is 43.

The spelling of 3332117105953 in words is "three trillion, three hundred thirty-two billion, one hundred seventeen million, one hundred five thousand, nine hundred fifty-three".