13536033 has 16 divisors (see below), whose sum is σ = 20691840. Its totient is φ = 7710336.

The previous prime is 13536031. The next prime is 13536053. The reversal of 13536033 is 33063531.

It is not a de Polignac number, because 13536033 - 2¹ = 13536031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13535994 and 13536012.

It is not an unprimeable number, because it can be changed into a prime (13536031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7341 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (1293240).

Almost surely, 2^13536033 is an apocalyptic number.

It is an amenable number.

13536033 is a deficient number, since it is larger than the sum of its proper divisors (7155807).

13536033 is a wasteful number, since it uses less digits than its factorization.

13536033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 13536033 is about 3679.1348167742. The cubic root of 13536033 is about 238.3218170820.

Adding to 13536033 its reverse (33063531), we get a palindrome (46599564).

The spelling of 13536033 in words is "thirteen million, five hundred thirty-six thousand, thirty-three".