13515033216 has 128 divisors (see below), whose sum is σ = 37031924160. Its totient is φ = 4363960320.

The previous prime is 13515033199. The next prime is 13515033223. The reversal of 13515033216 is 61233051531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13515033216² (a number of 21 digits) contains 22 as substring.

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, 3422155 + ... + 3426101.

Almost surely, 2^13515033216 is an apocalyptic number.

13515033216 is a gapful number since it is divisible by the number (16) 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 13515033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515962080).

13515033216 is an abundant number, since it is smaller than the sum of its proper divisors (23516890944).

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

13515033216 is a wasteful number, since it uses less digits than its factorization.

13515033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13515033216 its reverse (61233051531), we get a palindrome (74748084747).

The spelling of 13515033216 in words is "thirteen billion, five hundred fifteen million, thirty-three thousand, two hundred sixteen".