13005260 has 24 divisors (see below), whose sum is σ = 27378960. Its totient is φ = 5189184.

The previous prime is 13005259. The next prime is 13005263. The reversal of 13005260 is 6250031.

13005260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13005263) 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, 14711 + ... + 15569.

It is an arithmetic number, because the mean of its divisors is an integer number (1140790).

Almost surely, 2^13005260 is an apocalyptic number.

13005260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005260 is an abundant number, since it is smaller than the sum of its proper divisors (14373700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005260 is a wasteful number, since it uses less digits than its factorization.

13005260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13005260 is about 3606.2806324522. The cubic root of 13005260 is about 235.1651773688.

Adding to 13005260 its reverse (6250031), we get a palindrome (19255291).

It can be divided in two parts, 13005 and 260, that multiplied together give a triangular number (3381300 = T₂₆₀₀).

The spelling of 13005260 in words is "thirteen million, five thousand, two hundred sixty".