13036512 has 48 divisors (see below), whose sum is σ = 34428240. Its totient is φ = 4319232.

The previous prime is 13036511. The next prime is 13036519. The reversal of 13036512 is 21563031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13036512² = 339901290252288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13036511) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21688 + ... + 22280.

It is an arithmetic number, because the mean of its divisors is an integer number (717255).

Almost surely, 2^13036512 is an apocalyptic number.

13036512 is a gapful number since it is divisible by the number (12) 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 13036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214120).

13036512 is an abundant number, since it is smaller than the sum of its proper divisors (21391728).

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

13036512 is a wasteful number, since it uses less digits than its factorization.

13036512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13036512 is about 3610.6110286211. The cubic root of 13036512 is about 235.3533961625.

Adding to 13036512 its reverse (21563031), we get a palindrome (34599543).

The spelling of 13036512 in words is "thirteen million, thirty-six thousand, five hundred twelve".