2009813934753 has 40 divisors (see below), whose sum is σ = 3017746288128. Its totient is φ = 1333006367616.

The previous prime is 2009813934631. The next prime is 2009813934773. The reversal of 2009813934753 is 3574393189002.

2009813934753 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 81 + 3 + 93 + 475 + 3 = 666.

It is not a de Polignac number, because 2009813934753 - 2²⁰ = 2009812886177 is a prime.

It is a super-2 number, since 2×2009813934753² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2009813934753.

It is not an unprimeable number, because it can be changed into a prime (2009813934773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12559000 + ... + 12718022.

Almost surely, 2^{2009813934753} is an apocalyptic number.

It is an amenable number.

2009813934753 is a deficient number, since it is larger than the sum of its proper divisors (1007932353375).

2009813934753 is a wasteful number, since it uses less digits than its factorization.

2009813934753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159835 (or 159826 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2009813934753 in words is "two trillion, nine billion, eight hundred thirteen million, nine hundred thirty-four thousand, seven hundred fifty-three".