9513 has 12 divisors (see below), whose sum is σ = 15808. Its totient is φ = 5400.

The previous prime is 9511. The next prime is 9521. The reversal of 9513 is 3159.

9513 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 9513 - 2¹ = 9511 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 138.

2⁹⁵¹³ is an apocalyptic number.

It is an amenable number.

9513 is a deficient number, since it is larger than the sum of its proper divisors (6295).

9513 is a wasteful number, since it uses less digits than its factorization.

9513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 9513 is about 97.5346092421. The cubic root of 9513 is about 21.1887741683.

The spelling of 9513 in words is "nine thousand, five hundred thirteen".