2116527761 has 16 divisors (see below), whose sum is σ = 2305569744. Its totient is φ = 1934843904.

The previous prime is 2116527757. The next prime is 2116527799. The reversal of 2116527761 is 1677256112.

It can be written as a sum of positive squares in 8 ways, for example, as 185804161 + 1930723600 = 13631^2 + 43940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116527761 - 2² = 2116527757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2116527661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408161 + ... + 413313.

It is an arithmetic number, because the mean of its divisors is an integer number (144098109).

Almost surely, 2^2116527761 is an apocalyptic number.

It is an amenable number.

2116527761 is a deficient number, since it is larger than the sum of its proper divisors (189041983).

2116527761 is a wasteful number, since it uses less digits than its factorization.

2116527761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860.

The product of its digits is 35280, while the sum is 38.

The square root of 2116527761 is about 46005.7361749597. The cubic root of 2116527761 is about 1283.9299304177.

The spelling of 2116527761 in words is "two billion, one hundred sixteen million, five hundred twenty-seven thousand, seven hundred sixty-one".