27005013 has 24 divisors (see below), whose sum is σ = 46520448. Its totient is φ = 14759712.

The previous prime is 27004997. The next prime is 27005021. The reversal of 27005013 is 31050072.

It is not a de Polignac number, because 27005013 - 2⁴ = 27004997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27005053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7870 + ... + 10767.

It is an arithmetic number, because the mean of its divisors is an integer number (1938352).

Almost surely, 2^27005013 is an apocalyptic number.

27005013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27005013 is a deficient number, since it is larger than the sum of its proper divisors (19515435).

27005013 is a wasteful number, since it uses less digits than its factorization.

27005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18673 (or 18670 counting only the distinct ones).

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

The square root of 27005013 is about 5196.6347764683. The cubic root of 27005013 is about 300.0185655177.

Adding to 27005013 its reverse (31050072), we get a palindrome (58055085).

The spelling of 27005013 in words is "twenty-seven million, five thousand, thirteen".