13050513 has 36 divisors (see below), whose sum is σ = 22221108. Its totient is φ = 7358400.

The previous prime is 13050503. The next prime is 13050533. The reversal of 13050513 is 31505031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 603729 = 3528^2 + 777^2 .

It is not a de Polignac number, because 13050513 - 2⁴ = 13050497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13050503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44395 + ... + 44687.

It is an arithmetic number, because the mean of its divisors is an integer number (617253).

Almost surely, 2^13050513 is an apocalyptic number.

It is an amenable number.

13050513 is a deficient number, since it is larger than the sum of its proper divisors (9170595).

13050513 is a wasteful number, since it uses less digits than its factorization.

13050513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

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

The square root of 13050513 is about 3612.5493768252. The cubic root of 13050513 is about 235.4376212463.

Adding to 13050513 its reverse (31505031), we get a palindrome (44555544).

The spelling of 13050513 in words is "thirteen million, fifty thousand, five hundred thirteen".