13001516805 has 32 divisors (see below), whose sum is σ = 21115323648. Its totient is φ = 6830028800.

The previous prime is 13001516767. The next prime is 13001516807. The reversal of 13001516805 is 50861510031.

13001516805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001516805 - 2⁶ = 13001516741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001516807) 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 31 ways as a sum of consecutive naturals, for example, 1252597 + ... + 1262933.

It is an arithmetic number, because the mean of its divisors is an integer number (659853864).

Almost surely, 2^13001516805 is an apocalyptic number.

13001516805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13001516805 is a deficient number, since it is larger than the sum of its proper divisors (8113806843).

13001516805 is a wasteful number, since it uses less digits than its factorization.

13001516805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 13001516805 in words is "thirteen billion, one million, five hundred sixteen thousand, eight hundred five".