13006512 has 60 divisors (see below), whose sum is σ = 37304904. Its totient is φ = 4227840.

The previous prime is 13006501. The next prime is 13006537. The reversal of 13006512 is 21560031.

13006512 is a `hidden beast` number, since 13 + 0 + 0 + 651 + 2 = 666.

13006512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13006512² = 338338708812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4803 + ... + 7005.

Almost surely, 2^13006512 is an apocalyptic number.

13006512 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 13006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652452).

13006512 is an abundant number, since it is smaller than the sum of its proper divisors (24298392).

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

13006512 is a wasteful number, since it uses less digits than its factorization.

13006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13006512 is about 3606.4542143219. The cubic root of 13006512 is about 235.1727234785.

Adding to 13006512 its reverse (21560031), we get a palindrome (34566543).

The spelling of 13006512 in words is "thirteen million, six thousand, five hundred twelve".