13006510416 has 80 divisors (see below), whose sum is σ = 39529612800. Its totient is φ = 4080471552.

The previous prime is 13006510403. The next prime is 13006510417. The reversal of 13006510416 is 61401560031.

13006510416 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 651 + 0 + 4 + 1 + 6 = 666.

13006510416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13006510416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006510417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878176 + ... + 892863.

It is an arithmetic number, because the mean of its divisors is an integer number (494120160).

Almost surely, 2^13006510416 is an apocalyptic number.

13006510416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13006510416 is an abundant number, since it is smaller than the sum of its proper divisors (26523102384).

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

13006510416 is a wasteful number, since it uses less digits than its factorization.

13006510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771073 (or 1771061 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13006510416 in words is "thirteen billion, six million, five hundred ten thousand, four hundred sixteen".