13385504 has 36 divisors (see below), whose sum is σ = 28974582. Its totient is φ = 6082560.

The previous prime is 13385431. The next prime is 13385531. The reversal of 13385504 is 40558331.

It can be written as a sum of positive squares in only one way, i.e., 13337104 + 48400 = 3652^2 + 220^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2144 + ... + 5600.

Almost surely, 2^13385504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487291).

13385504 is an abundant number, since it is smaller than the sum of its proper divisors (15589078).

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

13385504 is a wasteful number, since it uses less digits than its factorization.

13385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 13385504 is about 3658.6205050538. The cubic root of 13385504 is about 237.4350936207.

The spelling of 13385504 in words is "thirteen million, three hundred eighty-five thousand, five hundred four".