8003853013 has 12 divisors (see below), whose sum is σ = 8711835780. Its totient is φ = 7349861376.

The previous prime is 8003853001. The next prime is 8003853071. The reversal of 8003853013 is 3103583008.

It can be written as a sum of positive squares in 6 ways, for example, as 978563524 + 7025289489 = 31282^2 + 83817^2 .

It is not a de Polignac number, because 8003853013 - 2²⁹ = 7466982101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003854013) 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 11 ways as a sum of consecutive naturals, for example, 90078 + ... + 155311.

It is an arithmetic number, because the mean of its divisors is an integer number (725986315).

Almost surely, 2^8003853013 is an apocalyptic number.

It is an amenable number.

8003853013 is a deficient number, since it is larger than the sum of its proper divisors (707982767).

8003853013 is a wasteful number, since it uses less digits than its factorization.

8003853013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245608 (or 245595 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 8003853013 is about 89464.2555046427. The cubic root of 8003853013 is about 2000.3210328829.

The spelling of 8003853013 in words is "eight billion, three million, eight hundred fifty-three thousand, thirteen".