6513 has 8 divisors (see below), whose sum is σ = 9408. Its totient is φ = 3984.

The previous prime is 6491. The next prime is 6521. The reversal of 6513 is 3156.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6513 - 2⁵ = 6481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6492 and 6501.

It is not an unprimeable number, because it can be changed into a prime (6553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

6513 is a deficient number, since it is larger than the sum of its proper divisors (2895).

6513 is a wasteful number, since it uses less digits than its factorization.

6513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 90, while the sum is 15.

The square root of 6513 is about 80.7031597894. The cubic root of 6513 is about 18.6749892027.

Adding to 6513 its reverse (3156), we get a palindrome (9669).

It can be divided in two parts, 651 and 3, that multiplied together give a triangular number (1953 = T₆₂).

The spelling of 6513 in words is "six thousand, five hundred thirteen".