6523 has 4 divisors (see below), whose sum is σ = 7128. Its totient is φ = 5920.

The previous prime is 6521. The next prime is 6529. The reversal of 6523 is 3256.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6523 - 2¹ = 6521 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

6523 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6497 and 6506.

It is not an unprimeable number, because it can be changed into a prime (6521) 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, 286 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2⁶⁵²³ is an apocalyptic number.

6523 is a deficient number, since it is larger than the sum of its proper divisors (605).

6523 is a wasteful number, since it uses less digits than its factorization.

6523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its digits is 180, while the sum is 16.

The square root of 6523 is about 80.7650914690. The cubic root of 6523 is about 18.6845421171.

Adding to 6523 its reverse (3256), we get a palindrome (9779).

It can be divided in two parts, 65 and 23, that added together give a palindrome (88).

The spelling of 6523 in words is "six thousand, five hundred twenty-three".