2205033413329 has 2 divisors, whose sum is σ = 2205033413330. Its totient is φ = 2205033413328.

The previous prime is 2205033413269. The next prime is 2205033413351. The reversal of 2205033413329 is 9233143305022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2138461673104 + 66571740225 = 1462348^2 + 258015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2205033413329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205033413029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102516706664 + 1102516706665.

It is an arithmetic number, because the mean of its divisors is an integer number (1102516706665).

Almost surely, 2^{2205033413329} is an apocalyptic number.

It is an amenable number.

2205033413329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205033413329 is an equidigital number, since it uses as much as digits as its factorization.

2205033413329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 2205033413329 in words is "two trillion, two hundred five billion, thirty-three million, four hundred thirteen thousand, three hundred twenty-nine".