13005210 has 16 divisors (see below), whose sum is σ = 31212576. Its totient is φ = 3468048.

The previous prime is 13005203. The next prime is 13005211. The reversal of 13005210 is 1250031.

13005210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13005211) 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, 216724 + ... + 216783.

It is an arithmetic number, because the mean of its divisors is an integer number (1950786).

Almost surely, 2^13005210 is an apocalyptic number.

13005210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005210 is an abundant number, since it is smaller than the sum of its proper divisors (18207366).

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

13005210 is a wasteful number, since it uses less digits than its factorization.

13005210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433517.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13005210 is about 3606.2737000954. The cubic root of 13005210 is about 235.1648759966.

Adding to 13005210 its reverse (1250031), we get a palindrome (14255241).

The spelling of 13005210 in words is "thirteen million, five thousand, two hundred ten".