2013505945 has 24 divisors (see below), whose sum is σ = 2659111560. Its totient is φ = 1462560000.

The previous prime is 2013505937. The next prime is 2013505957. The reversal of 2013505945 is 5495053102.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 2013227161 = 528^2 + 44869^2 .

It is not a de Polignac number, because 2013505945 - 2³ = 2013505937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013505945.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669445 + ... + 672445.

It is an arithmetic number, because the mean of its divisors is an integer number (110796315).

Almost surely, 2^2013505945 is an apocalyptic number.

It is an amenable number.

2013505945 is a deficient number, since it is larger than the sum of its proper divisors (645605615).

2013505945 is a wasteful number, since it uses less digits than its factorization.

2013505945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 2013505945 is about 44872.1065362436. The cubic root of 2013505945 is about 1262.7507605028.

The spelling of 2013505945 in words is "two billion, thirteen million, five hundred five thousand, nine hundred forty-five".