52505508050053 has 2 divisors, whose sum is σ = 52505508050054. Its totient is φ = 52505508050052.

The previous prime is 52505508050011. The next prime is 52505508050081. The reversal of 52505508050053 is 35005080550525.

52505508050053 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., 44121251918689 + 8384256131364 = 6642383^2 + 2895558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52505508050053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52505508049991 and 52505508050009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52505508050953) 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, 26252754025026 + 26252754025027.

It is an arithmetic number, because the mean of its divisors is an integer number (26252754025027).

Almost surely, 2^{52505508050053} is an apocalyptic number.

It is an amenable number.

52505508050053 is a deficient number, since it is larger than the sum of its proper divisors (1).

52505508050053 is an equidigital number, since it uses as much as digits as its factorization.

52505508050053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750000, while the sum is 43.

The spelling of 52505508050053 in words is "fifty-two trillion, five hundred five billion, five hundred eight million, fifty thousand, fifty-three".