13005027 has 24 divisors (see below), whose sum is σ = 22164480. Its totient is φ = 7190640.

The previous prime is 13005011. The next prime is 13005029. The reversal of 13005027 is 72050031.

13005027 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005027 - 2⁴ = 13005011 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13005029) 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, 1377 + ... + 5282.

It is an arithmetic number, because the mean of its divisors is an integer number (923520).

Almost surely, 2^13005027 is an apocalyptic number.

13005027 is a deficient number, since it is larger than the sum of its proper divisors (9159453).

13005027 is a wasteful number, since it uses less digits than its factorization.

13005027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6700 counting only the distinct ones).

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

The square root of 13005027 is about 3606.2483275559. The cubic root of 13005027 is about 235.1637729675.

Adding to 13005027 its reverse (72050031), we get a palindrome (85055058).

The spelling of 13005027 in words is "thirteen million, five thousand, twenty-seven".