2661116125 has 32 divisors (see below), whose sum is σ = 3449628000. Its totient is φ = 2047091200.

The previous prime is 2661116099. The next prime is 2661116147. The reversal of 2661116125 is 5216111662.

It can be written as a sum of positive squares in 16 ways, for example, as 1766268729 + 894847396 = 42027^2 + 29914^2 .

It is not a de Polignac number, because 2661116125 - 2¹⁹ = 2660591837 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 973761 + ... + 976489.

It is an arithmetic number, because the mean of its divisors is an integer number (107800875).

Almost surely, 2^2661116125 is an apocalyptic number.

2661116125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2661116125 is a deficient number, since it is larger than the sum of its proper divisors (788511875).

2661116125 is a wasteful number, since it uses less digits than its factorization.

2661116125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3032 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 2661116125 is about 51586.0070658701. The cubic root of 2661116125 is about 1385.7597477228.

Adding to 2661116125 its reverse (5216111662), we get a palindrome (7877227787).

The spelling of 2661116125 in words is "two billion, six hundred sixty-one million, one hundred sixteen thousand, one hundred twenty-five".