2871727752961 has 8 divisors (see below), whose sum is σ = 2890588604904. Its totient is φ = 2852874111360.

The previous prime is 2871727752931. The next prime is 2871727752991. The reversal of 2871727752961 is 1692577271782.

It is an interprime number because it is at equal distance from previous prime (2871727752931) and next prime (2871727752991).

It can be written as a sum of positive squares in 4 ways, for example, as 245253743361 + 2626474009600 = 495231^2 + 1620640^2 .

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 2871727752961 - 2⁹ = 2871727752449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2871727752893 and 2871727752902.

It is not an unprimeable number, because it can be changed into a prime (2871727752911) by changing a digit.

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, 1002250 + ... + 2597683.

It is an arithmetic number, because the mean of its divisors is an integer number (361323575613).

Almost surely, 2^{2871727752961} is an apocalyptic number.

It is an amenable number.

2871727752961 is a deficient number, since it is larger than the sum of its proper divisors (18860851943).

2871727752961 is a wasteful number, since it uses less digits than its factorization.

2871727752961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605171.

The product of its digits is 41489280, while the sum is 64.

The spelling of 2871727752961 in words is "two trillion, eight hundred seventy-one billion, seven hundred twenty-seven million, seven hundred fifty-two thousand, nine hundred sixty-one".