2772125135727 has 16 divisors (see below), whose sum is σ = 3892487664000. Its totient is φ = 1750012301664.

The previous prime is 2772125135719. The next prime is 2772125135753. The reversal of 2772125135727 is 7275315212772.

It is not a de Polignac number, because 2772125135727 - 2³ = 2772125135719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2772125135727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772125135797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11035452 + ... + 11283857.

It is an arithmetic number, because the mean of its divisors is an integer number (243280479000).

Almost surely, 2^{2772125135727} is an apocalyptic number.

2772125135727 is a deficient number, since it is larger than the sum of its proper divisors (1120362528273).

2772125135727 is a wasteful number, since it uses less digits than its factorization.

2772125135727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22321510.

The product of its digits is 2881200, while the sum is 51.

The spelling of 2772125135727 in words is "two trillion, seven hundred seventy-two billion, one hundred twenty-five million, one hundred thirty-five thousand, seven hundred twenty-seven".