13503150 has 72 divisors (see below), whose sum is σ = 37304904. Its totient is φ = 3499200.

The previous prime is 13503137. The next prime is 13503157. The reversal of 13503150 is 5130531.

It is a happy number.

13503150 is a `hidden beast` number, since 1 + 350 + 315 + 0 = 666.

13503150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16245 + ... + 17055.

Almost surely, 2^13503150 is an apocalyptic number.

13503150 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 13503150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652452).

13503150 is an abundant number, since it is smaller than the sum of its proper divisors (23801754).

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

13503150 is a wasteful number, since it uses less digits than its factorization.

13503150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13503150 is about 3674.6632498775. The cubic root of 13503150 is about 238.1286760339.

Adding to 13503150 its reverse (5130531), we get a palindrome (18633681).

The spelling of 13503150 in words is "thirteen million, five hundred three thousand, one hundred fifty".