52711331706049 has 9 divisors (see below), whose sum is σ = 52791730658121. Its totient is φ = 52631055044400.

The previous prime is 52711331706017. The next prime is 52711331706097. The reversal of 52711331706049 is 94060713311725.

The square root of 52711331706049 is 7260257.

It is a perfect power (a square), and thus also a powerful number.

52711331706049 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 4 ways, for example, as 8155279505025 + 44556052201024 = 2855745^2 + 6675032^2 .

It is not a de Polignac number, because 52711331706049 - 2⁵ = 52711331706017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52711331705993 and 52711331706011.

It is not an unprimeable number, because it can be changed into a prime (52711331506049) 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 in 8 ways as a sum of consecutive naturals, for example, 5089434979 + ... + 5089445335.

Almost surely, 2^{52711331706049} is an apocalyptic number.

52711331706049 is the 7260257-th square number.

52711331706049 is the 3630129-th centered octagonal number.

It is an amenable number.

52711331706049 is a deficient number, since it is larger than the sum of its proper divisors (80398952072).

52711331706049 is an frugal number, since it uses more digits than its factorization.

52711331706049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 52711331706049 in words is "fifty-two trillion, seven hundred eleven billion, three hundred thirty-one million, seven hundred six thousand, forty-nine".