2772691313 has 12 divisors (see below), whose sum is σ = 3415104612. Its totient is φ = 2236792320.

The previous prime is 2772691307. The next prime is 2772691391. The reversal of 2772691313 is 3131962772.

2772691313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2088764209 + 683927104 = 45703^2 + 26152^2 .

It is not a de Polignac number, because 2772691313 - 2¹⁶ = 2772625777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2772691303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1663448 + ... + 1665113.

It is an arithmetic number, because the mean of its divisors is an integer number (284592051).

Almost surely, 2^2772691313 is an apocalyptic number.

It is an amenable number.

2772691313 is a deficient number, since it is larger than the sum of its proper divisors (642413299).

2772691313 is a wasteful number, since it uses less digits than its factorization.

2772691313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328592 (or 3328585 counting only the distinct ones).

The product of its digits is 95256, while the sum is 41.

The square root of 2772691313 is about 52656.3511174103. The cubic root of 2772691313 is about 1404.8625664805.

The spelling of 2772691313 in words is "two billion, seven hundred seventy-two million, six hundred ninety-one thousand, three hundred thirteen".