2000133009 has 18 divisors (see below), whose sum is σ = 3360768450. Its totient is φ = 1142932896.

The previous prime is 2000132951. The next prime is 2000133017. The reversal of 2000133009 is 9003310002.

It can be written as a sum of positive squares in only one way, i.e., 1688963409 + 311169600 = 41097^2 + 17640^2 .

It is not a de Polignac number, because 2000133009 - 2¹¹ = 2000130961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000132982 and 2000133000.

It is not an unprimeable number, because it can be changed into a prime (2000133049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2267284 + ... + 2268165.

Almost surely, 2^2000133009 is an apocalyptic number.

It is an amenable number.

2000133009 is a deficient number, since it is larger than the sum of its proper divisors (1360635441).

2000133009 is a wasteful number, since it uses less digits than its factorization.

2000133009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535469 (or 4535459 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2000133009 is about 44722.8466111002. The cubic root of 2000133009 is about 1259.9489794156.

The spelling of 2000133009 in words is "two billion, one hundred thirty-three thousand, nine".