15917951271 has 16 divisors (see below), whose sum is σ = 22647031040. Its totient is φ = 9915721920.

The previous prime is 15917951261. The next prime is 15917951279. The reversal of 15917951271 is 17215971951.

15917951271 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 15917951271 - 2¹⁸ = 15917689127 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15917951271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15917951279) 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, 1908595 + ... + 1916916.

It is an arithmetic number, because the mean of its divisors is an integer number (1415439440).

Almost surely, 2^15917951271 is an apocalyptic number.

15917951271 is a deficient number, since it is larger than the sum of its proper divisors (6729079769).

15917951271 is a wasteful number, since it uses less digits than its factorization.

15917951271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825606.

The product of its digits is 198450, while the sum is 48.

The spelling of 15917951271 in words is "fifteen billion, nine hundred seventeen million, nine hundred fifty-one thousand, two hundred seventy-one".