2000033137 has 2 divisors, whose sum is σ = 2000033138. Its totient is φ = 2000033136.

The previous prime is 2000033129. The next prime is 2000033141. The reversal of 2000033137 is 7313300002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1577360656 + 422672481 = 39716^2 + 20559^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000033137 - 2³ = 2000033129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000033237) 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 as a sum of consecutive naturals, namely, 1000016568 + 1000016569.

It is an arithmetic number, because the mean of its divisors is an integer number (1000016569).

Almost surely, 2^2000033137 is an apocalyptic number.

It is an amenable number.

2000033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000033137 is an equidigital number, since it uses as much as digits as its factorization.

2000033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 2000033137 is about 44721.7300313841. The cubic root of 2000033137 is about 1259.9280081904.

Adding to 2000033137 its reverse (7313300002), we get a palindrome (9313333139).

The spelling of 2000033137 in words is "two billion, thirty-three thousand, one hundred thirty-seven".