120752033 has 2 divisors, whose sum is σ = 120752034. Its totient is φ = 120752032.

The previous prime is 120751993. The next prime is 120752057. The reversal of 120752033 is 330257021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72199009 + 48553024 = 8497^2 + 6968^2 .

It is an emirp because it is prime and its reverse (330257021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120752033 - 2²⁰ = 119703457 is a prime.

It is not a weakly prime, because it can be changed into another prime (120752063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60376016 + 60376017.

It is an arithmetic number, because the mean of its divisors is an integer number (60376017).

Almost surely, 2^120752033 is an apocalyptic number.

It is an amenable number.

120752033 is a deficient number, since it is larger than the sum of its proper divisors (1).

120752033 is an equidigital number, since it uses as much as digits as its factorization.

120752033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 120752033 is about 10988.7229922316. The cubic root of 120752033 is about 494.2706437119.

The spelling of 120752033 in words is "one hundred twenty million, seven hundred fifty-two thousand, thirty-three".