13038500 has 48 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 5139200.

The previous prime is 13038497. The next prime is 13038523. The reversal of 13038500 is 583031.

It can be written as a sum of positive squares in 8 ways, for example, as 2951524 + 10086976 = 1718^2 + 3176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 44354 + ... + 44646.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^13038500 is an apocalyptic number.

13038500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13038500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

13038500 is an abundant number, since it is smaller than the sum of its proper divisors (15855820).

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

13038500 is a wasteful number, since it uses less digits than its factorization.

13038500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13038500 is about 3610.8863177896. The cubic root of 13038500 is about 235.3653589424.

The spelling of 13038500 in words is "thirteen million, thirty-eight thousand, five hundred".