2000513329 has 2 divisors, whose sum is σ = 2000513330. Its totient is φ = 2000513328.

The previous prime is 2000513309. The next prime is 2000513399. The reversal of 2000513329 is 9233150002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1367890225 + 632623104 = 36985^2 + 25152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000513329 - 2⁷ = 2000513201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000513309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000256664 + 1000256665.

It is an arithmetic number, because the mean of its divisors is an integer number (1000256665).

Almost surely, 2^2000513329 is an apocalyptic number.

It is an amenable number.

2000513329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000513329 is an equidigital number, since it uses as much as digits as its factorization.

2000513329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2000513329 is about 44727.0983744754. The cubic root of 2000513329 is about 1260.0288330095.

The spelling of 2000513329 in words is "two billion, five hundred thirteen thousand, three hundred twenty-nine".