2073333406337 has 2 divisors, whose sum is σ = 2073333406338. Its totient is φ = 2073333406336.

The previous prime is 2073333406301. The next prime is 2073333406363. The reversal of 2073333406337 is 7336043333702.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1303088457841 + 770244948496 = 1141529^2 + 877636^2 .

It is a cyclic number.

It is not a de Polignac number, because 2073333406337 - 2¹² = 2073333402241 is a prime.

It is a super-2 number, since 2×2073333406337² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2073333426337) 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, 1036666703168 + 1036666703169.

It is an arithmetic number, because the mean of its divisors is an integer number (1036666703169).

Almost surely, 2^{2073333406337} is an apocalyptic number.

It is an amenable number.

2073333406337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2073333406337 is an equidigital number, since it uses as much as digits as its factorization.

2073333406337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608, while the sum is 44.

The spelling of 2073333406337 in words is "two trillion, seventy-three billion, three hundred thirty-three million, four hundred six thousand, three hundred thirty-seven".