2056611711217 has 16 divisors (see below), whose sum is σ = 2474439546240. Its totient is φ = 1669814431488.

The previous prime is 2056611711199. The next prime is 2056611711227. The reversal of 2056611711217 is 7121171166502.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2056611711217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2056611711217.

It is not an unprimeable number, because it can be changed into a prime (2056611711227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34953 + ... + 2028409.

It is an arithmetic number, because the mean of its divisors is an integer number (154652471640).

Almost surely, 2^{2056611711217} is an apocalyptic number.

It is an amenable number.

2056611711217 is a deficient number, since it is larger than the sum of its proper divisors (417827835023).

2056611711217 is a wasteful number, since it uses less digits than its factorization.

2056611711217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001240.

The product of its (nonzero) digits is 35280, while the sum is 40.

Adding to 2056611711217 its reverse (7121171166502), we get a palindrome (9177782877719).

The spelling of 2056611711217 in words is "two trillion, fifty-six billion, six hundred eleven million, seven hundred eleven thousand, two hundred seventeen".