52005777255769 has 2 divisors, whose sum is σ = 52005777255770. Its totient is φ = 52005777255768.

The previous prime is 52005777255647. The next prime is 52005777255793. The reversal of 52005777255769 is 96755277750025.

52005777255769 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., 50536743566400 + 1469033689369 = 7108920^2 + 1212037^2 .

It is a cyclic number.

It is not a de Polignac number, because 52005777255769 - 2³¹ = 52003629772121 is a prime.

It is a super-2 number, since 2×52005777255769² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (52005777250769) 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, 26002888627884 + 26002888627885.

It is an arithmetic number, because the mean of its divisors is an integer number (26002888627885).

Almost surely, 2^{52005777255769} is an apocalyptic number.

It is an amenable number.

52005777255769 is a deficient number, since it is larger than the sum of its proper divisors (1).

52005777255769 is an equidigital number, since it uses as much as digits as its factorization.

52005777255769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324135000, while the sum is 67.

The spelling of 52005777255769 in words is "fifty-two trillion, five billion, seven hundred seventy-seven million, two hundred fifty-five thousand, seven hundred sixty-nine".