6527 has 4 divisors (see below), whose sum is σ = 6696. Its totient is φ = 6360.

The previous prime is 6521. The next prime is 6529. The reversal of 6527 is 7256.

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 6527 - 2⁸ = 6271 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 8.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 6499 and 6508.

It is a congruent number.

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, 8 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2⁶⁵²⁷ is an apocalyptic number.

6527 is a deficient number, since it is larger than the sum of its proper divisors (169).

6527 is a wasteful number, since it uses less digits than its factorization.

6527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its digits is 420, while the sum is 20.

The square root of 6527 is about 80.7898508477. The cubic root of 6527 is about 18.6883605492.

Subtracting 6527 from its reverse (7256), we obtain a 6-th power (729 = 3⁶).

The spelling of 6527 in words is "six thousand, five hundred twenty-seven".