27513 has 8 divisors (see below), whose sum is σ = 40800. Its totient is φ = 18324.

The previous prime is 27509. The next prime is 27527. The reversal of 27513 is 31572.

It is not a de Polignac number, because 27513 - 2² = 27509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2²⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

27513 is a deficient number, since it is larger than the sum of its proper divisors (13287).

27513 is a wasteful number, since it uses less digits than its factorization.

27513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 27513 is about 165.8704313613. The cubic root of 27513 is about 30.1888092098.

Subtracting from 27513 its sum of digits (18), we obtain a triangular number (27495 = T₂₃₄).

The spelling of 27513 in words is "twenty-seven thousand, five hundred thirteen".