13007005705 has 8 divisors (see below), whose sum is σ = 15612278472. Its totient is φ = 10403023488.

The previous prime is 13007005679. The next prime is 13007005751. The reversal of 13007005705 is 50750070031.

It can be written as a sum of positive squares in 4 ways, for example, as 379314576 + 12627691129 = 19476^2 + 112373^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13007005705 - 2¹¹ = 13007003657 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 300322 + ... + 340891.

It is an arithmetic number, because the mean of its divisors is an integer number (1951534809).

Almost surely, 2^13007005705 is an apocalyptic number.

It is an amenable number.

13007005705 is a deficient number, since it is larger than the sum of its proper divisors (2605272767).

13007005705 is an equidigital number, since it uses as much as digits as its factorization.

13007005705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645275.

The product of its (nonzero) digits is 3675, while the sum is 28.

Adding to 13007005705 its reverse (50750070031), we get a palindrome (63757075736).

The spelling of 13007005705 in words is "thirteen billion, seven million, five thousand, seven hundred five".