13385500 has 48 divisors (see below), whose sum is σ = 30794400. Its totient is φ = 5068800.

The previous prime is 13385431. The next prime is 13385531. The reversal of 13385500 is 558331.

It is a happy number.

It is a super-2 number, since 2×13385500² = 358343220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

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, 8796 + ... + 10204.

It is an arithmetic number, because the mean of its divisors is an integer number (641550).

Almost surely, 2^13385500 is an apocalyptic number.

13385500 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 13385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397200).

13385500 is an abundant number, since it is smaller than the sum of its proper divisors (17408900).

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

13385500 is a wasteful number, since it uses less digits than its factorization.

13385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13385500 is about 3658.6199583996. The cubic root of 13385500 is about 237.4350699697.

The spelling of 13385500 in words is "thirteen million, three hundred eighty-five thousand, five hundred".