13005513 has 6 divisors (see below), whose sum is σ = 18785754. Its totient is φ = 8670336.

The previous prime is 13005491. The next prime is 13005521. The reversal of 13005513 is 31550031.

It is a happy number.

13005513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12873744 + 131769 = 3588^2 + 363^2 .

It is not a de Polignac number, because 13005513 - 2⁶ = 13005449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13005563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722520 + ... + 722537.

It is an arithmetic number, because the mean of its divisors is an integer number (3130959).

Almost surely, 2^13005513 is an apocalyptic number.

It is an amenable number.

13005513 is a deficient number, since it is larger than the sum of its proper divisors (5780241).

13005513 is a wasteful number, since it uses less digits than its factorization.

13005513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445063 (or 1445060 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13005513 is about 3606.3157099733. The cubic root of 13005513 is about 235.1667023006.

Adding to 13005513 its reverse (31550031), we get a palindrome (44555544).

The spelling of 13005513 in words is "thirteen million, five thousand, five hundred thirteen".