13005150 has 48 divisors (see below), whose sum is σ = 32472624. Its totient is φ = 3444480.

The previous prime is 13005133. The next prime is 13005173. The reversal of 13005150 is 5150031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41394 + ... + 41706.

It is an arithmetic number, because the mean of its divisors is an integer number (676513).

Almost surely, 2^13005150 is an apocalyptic number.

13005150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236312).

13005150 is an abundant number, since it is smaller than the sum of its proper divisors (19467474).

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

13005150 is a wasteful number, since it uses less digits than its factorization.

13005150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 13005150 is about 3606.2653812497. The cubic root of 13005150 is about 235.1645143488.

Adding to 13005150 its reverse (5150031), we get a palindrome (18155181).

The spelling of 13005150 in words is "thirteen million, five thousand, one hundred fifty".