3513 has 4 divisors (see below), whose sum is σ = 4688. Its totient is φ = 2340.

The previous prime is 3511. The next prime is 3517. The reversal of 3513 is 3153.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3153 = 3 ⋅1051.

It is not a de Polignac number, because 3513 - 2¹ = 3511 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3511) 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, 583 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (1172).

It is an amenable number.

3513 is a deficient number, since it is larger than the sum of its proper divisors (1175).

3513 is a wasteful number, since it uses less digits than its factorization.

3513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174.

The product of its digits is 45, while the sum is 12.

The square root of 3513 is about 59.2705660509. The cubic root of 3513 is about 15.2017195654.

Adding to 3513 its reverse (3153), we get a palindrome (6666).

The spelling of 3513 in words is "three thousand, five hundred thirteen".