2516656550217 has 48 divisors (see below), whose sum is σ = 3597097092480. Its totient is φ = 1564697085952.

The previous prime is 2516656550203. The next prime is 2516656550257. The reversal of 2516656550217 is 7120556566152.

2516656550217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2516656550217 - 2⁴ = 2516656550201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2516656550217.

It is not an unprimeable number, because it can be changed into a prime (2516656550257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66140884 + ... + 66178922.

It is an arithmetic number, because the mean of its divisors is an integer number (74939522760).

Almost surely, 2^{2516656550217} is an apocalyptic number.

It is an amenable number.

2516656550217 is a deficient number, since it is larger than the sum of its proper divisors (1080440542263).

2516656550217 is a wasteful number, since it uses less digits than its factorization.

2516656550217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38770 (or 38753 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 51.

The spelling of 2516656550217 in words is "two trillion, five hundred sixteen billion, six hundred fifty-six million, five hundred fifty thousand, two hundred seventeen".