2681271961 has 9 divisors (see below), whose sum is σ = 2735616541. Its totient is φ = 2627989312.

The previous prime is 2681271941. The next prime is 2681271973. The reversal of 2681271961 is 1691721862.

The square root of 2681271961 is 51781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1266007561 + 1415264400 = 35581^2 + 37620^2 .

It is not a de Polignac number, because 2681271961 - 2⁷ = 2681271833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2681271911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2743905 + ... + 2744881.

Almost surely, 2^2681271961 is an apocalyptic number.

2681271961 is the 51781-st square number.

2681271961 is the 25891-st centered octagonal number.

It is an amenable number.

2681271961 is a deficient number, since it is larger than the sum of its proper divisors (54344580).

2681271961 is an frugal number, since it uses more digits than its factorization.

2681271961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 1030 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The cubic root of 2681271961 is about 1389.2496270835.

The spelling of 2681271961 in words is "two billion, six hundred eighty-one million, two hundred seventy-one thousand, nine hundred sixty-one".