• 4513^{2} = 20367169 is an anagram of the next square 4514^{2} = 20376196.

4513 has 2 divisors, whose sum is σ = 4514. Its totient is φ = 4512.

The previous prime is 4507. The next prime is 4517. The reversal of 4513 is 3154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 2209 = 48^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 4513 - 2^{5} = 4481 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4493 and 4502.

It is not a weakly prime, because it can be changed into another prime (4517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2256 + 2257.

It is an arithmetic number, because the mean of its divisors is an integer number (2257).

2^{4513} is an apocalyptic number.

4513 is the 48-th centered square number.

It is an amenable number.

4513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4513 is an equidigital number, since it uses as much as digits as its factorization.

4513 is an odious number, because the sum of its binary digits is odd.

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

The square root of 4513 is about 67.1788657243. The cubic root of 4513 is about 16.5255191279.

Adding to 4513 its reverse (3154), we get a palindrome (7667).

It can be divided in two parts, 451 and 3, that added together give a palindrome (454).

The spelling of 4513 in words is "four thousand, five hundred thirteen".

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