13500576 has 36 divisors (see below), whose sum is σ = 38393082. Its totient is φ = 4500096.

The previous prime is 13500551. The next prime is 13500589. The reversal of 13500576 is 67500531.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 104976 = 3660^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23151 + ... + 23726.

Almost surely, 2^13500576 is an apocalyptic number.

13500576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13500576 is an abundant number, since it is smaller than the sum of its proper divisors (24892506).

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

13500576 is a wasteful number, since it uses less digits than its factorization.

13500576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46893 (or 46882 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13500576 is about 3674.3129970105. The cubic root of 13500576 is about 238.1135442026.

The spelling of 13500576 in words is "thirteen million, five hundred thousand, five hundred seventy-six".