5413 has 2 divisors, whose sum is σ = 5414. Its totient is φ = 5412.

The previous prime is 5407. The next prime is 5417. The reversal of 5413 is 3145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3969 + 1444 = 63^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 5413 - 2⁵ = 5381 is a prime.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5393 and 5402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5417) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2706 + 2707.

It is an arithmetic number, because the mean of its divisors is an integer number (2707).

2⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

5413 is a deficient number, since it is larger than the sum of its proper divisors (1).

5413 is an equidigital number, since it uses as much as digits as its factorization.

5413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 13.

The square root of 5413 is about 73.5730929077. The cubic root of 5413 is about 17.5581737506.

Adding to 5413 its reverse (3145), we get a palindrome (8558).

The spelling of 5413 in words is "five thousand, four hundred thirteen".