2013532105 has 32 divisors (see below), whose sum is σ = 2766966048. Its totient is φ = 1393459200.

The previous prime is 2013532091. The next prime is 2013532127. The reversal of 2013532105 is 5012353102.

It can be written as a sum of positive squares in 16 ways, for example, as 491908041 + 1521624064 = 22179^2 + 39008^2 .

It is not a de Polignac number, because 2013532105 - 2⁷ = 2013531977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262525 + ... + 270085.

It is an arithmetic number, because the mean of its divisors is an integer number (86467689).

Almost surely, 2^2013532105 is an apocalyptic number.

It is an amenable number.

2013532105 is a deficient number, since it is larger than the sum of its proper divisors (753433943).

2013532105 is a wasteful number, since it uses less digits than its factorization.

2013532105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2013532105 is about 44872.3980304151. The cubic root of 2013532105 is about 1262.7562291427.

Adding to 2013532105 its reverse (5012353102), we get a palindrome (7025885207).

The spelling of 2013532105 in words is "two billion, thirteen million, five hundred thirty-two thousand, one hundred five".