13005021 has 16 divisors (see below), whose sum is σ = 18164160. Its totient is φ = 8265600.

The previous prime is 13005011. The next prime is 13005029. The reversal of 13005021 is 12050031.

It is not a de Polignac number, because 13005021 - 2⁵ = 13004989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13004988 and 13005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6321 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 2^13005021 is an apocalyptic number.

It is an amenable number.

13005021 is a deficient number, since it is larger than the sum of its proper divisors (5159139).

13005021 is a wasteful number, since it uses less digits than its factorization.

13005021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13005021 is about 3606.2474956664. The cubic root of 13005021 is about 235.1637368024.

Adding to 13005021 its reverse (12050031), we get a palindrome (25055052).

The spelling of 13005021 in words is "thirteen million, five thousand, twenty-one".