680033133 has 48 divisors (see below), whose sum is σ = 1125699120. Its totient is φ = 391882752.

The previous prime is 680033087. The next prime is 680033141. The reversal of 680033133 is 331330086.

680033133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 114639849 + 565393284 = 10707^2 + 23778^2 .

It is not a de Polignac number, because 680033133 - 2⁹ = 680032621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 680033097 and 680033106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680033933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454735 + ... + 456227.

It is an arithmetic number, because the mean of its divisors is an integer number (23452065).

Almost surely, 2^680033133 is an apocalyptic number.

It is an amenable number.

680033133 is a deficient number, since it is larger than the sum of its proper divisors (445665987).

680033133 is a wasteful number, since it uses less digits than its factorization.

680033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 680033133 is about 26077.4449093465. Note that the first 3 decimals coincide. The cubic root of 680033133 is about 879.3802165681.

The spelling of 680033133 in words is "six hundred eighty million, thirty-three thousand, one hundred thirty-three".