2052772108137 has 6 divisors (see below), whose sum is σ = 2965115267322. Its totient is φ = 1368514738752.

The previous prime is 2052772108097. The next prime is 2052772108151. The reversal of 2052772108137 is 7318012772502.

2052772108137 is a `hidden beast` number, since 2 + 0 + 527 + 7 + 2 + 10 + 81 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1864961684496 + 187810423641 = 1365636^2 + 433371^2 .

It is not a de Polignac number, because 2052772108137 - 2³⁰ = 2051698366313 is a prime.

It is a super-2 number, since 2×2052772108137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2052772108092 and 2052772108101.

It is not an unprimeable number, because it can be changed into a prime (2052772108237) 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 5 ways as a sum of consecutive naturals, for example, 114042894888 + ... + 114042894905.

It is an arithmetic number, because the mean of its divisors is an integer number (494185877887).

Almost surely, 2^{2052772108137} is an apocalyptic number.

It is an amenable number.

2052772108137 is a deficient number, since it is larger than the sum of its proper divisors (912343159185).

2052772108137 is a wasteful number, since it uses less digits than its factorization.

2052772108137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228085789799 (or 228085789796 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 2052772108137 in words is "two trillion, fifty-two billion, seven hundred seventy-two million, one hundred eight thousand, one hundred thirty-seven".