13505033 has 2 divisors, whose sum is σ = 13505034. Its totient is φ = 13505032.

The previous prime is 13504999. The next prime is 13505059. The reversal of 13505033 is 33050531.

13505033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7991929 + 5513104 = 2827^2 + 2348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505033 - 2¹² = 13500937 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13504996 and 13505014.

It is not a weakly prime, because it can be changed into another prime (13504033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752516 + 6752517.

It is an arithmetic number, because the mean of its divisors is an integer number (6752517).

Almost surely, 2^13505033 is an apocalyptic number.

It is an amenable number.

13505033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505033 is an equidigital number, since it uses as much as digits as its factorization.

13505033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 675, while the sum is 20.

The square root of 13505033 is about 3674.9194548997. The cubic root of 13505033 is about 238.1397444502.

Adding to 13505033 its reverse (33050531), we get a palindrome (46555564).

The spelling of 13505033 in words is "thirteen million, five hundred five thousand, thirty-three".