52003133201177 has 2 divisors, whose sum is σ = 52003133201178. Its totient is φ = 52003133201176.

The previous prime is 52003133201111. The next prime is 52003133201197. The reversal of 52003133201177 is 77110233130025.

52003133201177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40571052550681 + 11432080650496 = 6369541^2 + 3381136^2 .

It is a cyclic number.

It is not a de Polignac number, because 52003133201177 - 2¹⁸ = 52003132939033 is a prime.

It is not a weakly prime, because it can be changed into another prime (52003133201197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26001566600588 + 26001566600589.

It is an arithmetic number, because the mean of its divisors is an integer number (26001566600589).

Almost surely, 2^{52003133201177} is an apocalyptic number.

It is an amenable number.

52003133201177 is a deficient number, since it is larger than the sum of its proper divisors (1).

52003133201177 is an equidigital number, since it uses as much as digits as its factorization.

52003133201177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 52003133201177 in words is "fifty-two trillion, three billion, one hundred thirty-three million, two hundred one thousand, one hundred seventy-seven".