13005275 has 24 divisors (see below), whose sum is σ = 16915584. Its totient is φ = 9907200.

The previous prime is 13005269. The next prime is 13005277. The reversal of 13005275 is 57250031.

It is not a de Polignac number, because 13005275 - 2⁴ = 13005259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005275.

It is not an unprimeable number, because it can be changed into a prime (13005277) 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, 75089 + ... + 75261.

It is an arithmetic number, because the mean of its divisors is an integer number (704816).

Almost surely, 2^13005275 is an apocalyptic number.

13005275 is a deficient number, since it is larger than the sum of its proper divisors (3910309).

13005275 is a wasteful number, since it uses less digits than its factorization.

13005275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 13005275 is about 3606.2827121567. The cubic root of 13005275 is about 235.1652677804.

The spelling of 13005275 in words is "thirteen million, five thousand, two hundred seventy-five".