5513 has 4 divisors (see below), whose sum is σ = 5700. Its totient is φ = 5328.

The previous prime is 5507. The next prime is 5519. The reversal of 5513 is 3155.

5513 = 52² + 53².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3155 = 5 ⋅631.

It is an interprime number because it is at equal distance from previous prime (5507) and next prime (5519).

It can be written as a sum of positive squares in 2 ways, for example, as 2809 + 2704 = 53^2 + 52^2 .

It is not a de Polignac number, because 5513 - 2⁶ = 5449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (1425).

2⁵⁵¹³ is an apocalyptic number.

5513 is the 53-rd centered square number.

It is an amenable number.

5513 is a deficient number, since it is larger than the sum of its proper divisors (187).

5513 is a wasteful number, since it uses less digits than its factorization.

5513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186.

The product of its digits is 75, while the sum is 14.

The square root of 5513 is about 74.2495791234. The cubic root of 5513 is about 17.6656381665.

Adding to 5513 its reverse (3155), we get a palindrome (8668).

It can be divided in two parts, 551 and 3, that multiplied together give a triangular number (1653 = T₅₇).

The spelling of 5513 in words is "five thousand, five hundred thirteen".