2005121113 has 8 divisors (see below), whose sum is σ = 2054997000. Its totient is φ = 1955291520.

The previous prime is 2005121101. The next prime is 2005121119. The reversal of 2005121113 is 3111215002.

It can be written as a sum of positive squares in 4 ways, for example, as 263477824 + 1741643289 = 16232^2 + 41733^2 .

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 2005121113 - 2⁵ = 2005121081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005121119) 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 7 ways as a sum of consecutive naturals, for example, 86263 + ... + 107011.

It is an arithmetic number, because the mean of its divisors is an integer number (256874625).

Almost surely, 2^2005121113 is an apocalyptic number.

It is an amenable number.

2005121113 is a deficient number, since it is larger than the sum of its proper divisors (49875887).

2005121113 is a wasteful number, since it uses less digits than its factorization.

2005121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23147.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 2005121113 is about 44778.5787291200. The cubic root of 2005121113 is about 1260.9954996975.

Adding to 2005121113 its reverse (3111215002), we get a palindrome (5116336115).

The spelling of 2005121113 in words is "two billion, five million, one hundred twenty-one thousand, one hundred thirteen".