2517116755201 has 8 divisors (see below), whose sum is σ = 2589069795840. Its totient is φ = 2445370180848.

The previous prime is 2517116755157. The next prime is 2517116755217. The reversal of 2517116755201 is 1025576117152.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2517116755201 - 2²³ = 2517108366593 is a prime.

It is a super-2 number, since 2×2517116755201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2517116755261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51591841 + ... + 51640606.

It is an arithmetic number, because the mean of its divisors is an integer number (323633724480).

Almost surely, 2^{2517116755201} is an apocalyptic number.

It is an amenable number.

2517116755201 is a deficient number, since it is larger than the sum of its proper divisors (71953040639).

2517116755201 is a wasteful number, since it uses less digits than its factorization.

2517116755201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103233143.

The product of its (nonzero) digits is 147000, while the sum is 43.

The spelling of 2517116755201 in words is "two trillion, five hundred seventeen billion, one hundred sixteen million, seven hundred fifty-five thousand, two hundred one".