8513 has 2 divisors, whose sum is σ = 8514. Its totient is φ = 8512.

The previous prime is 8501. The next prime is 8521. The reversal of 8513 is 3158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 49 = 92^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 8513 - 2¹⁰ = 7489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8491 and 8500.

It is not a weakly prime, because it can be changed into another prime (8543) 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, 4256 + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (4257).

2⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

8513 is a deficient number, since it is larger than the sum of its proper divisors (1).

8513 is an equidigital number, since it uses as much as digits as its factorization.

8513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 8513 is about 92.2659200355. The cubic root of 8513 is about 20.4186744289.

The spelling of 8513 in words is "eight thousand, five hundred thirteen".