2116507127 has 24 divisors (see below), whose sum is σ = 2582417376. Its totient is φ = 1726283328.

The previous prime is 2116507121. The next prime is 2116507201. The reversal of 2116507127 is 7217056112.

It is not a de Polignac number, because 2116507127 - 2⁴ = 2116507111 is a prime.

It is a super-3 number, since 3×2116507127³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2116507093 and 2116507102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116507121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217253 + ... + 226785.

It is an arithmetic number, because the mean of its divisors is an integer number (107600724).

Almost surely, 2^2116507127 is an apocalyptic number.

2116507127 is a deficient number, since it is larger than the sum of its proper divisors (465910249).

2116507127 is a wasteful number, since it uses less digits than its factorization.

2116507127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 2116507127 is about 46005.5119197689. The cubic root of 2116507127 is about 1283.9257580657.

The spelling of 2116507127 in words is "two billion, one hundred sixteen million, five hundred seven thousand, one hundred twenty-seven".