52506541721 has 2 divisors, whose sum is σ = 52506541722. Its totient is φ = 52506541720.

The previous prime is 52506541669. The next prime is 52506541723. The reversal of 52506541721 is 12714560525.

52506541721 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., 52438710025 + 67831696 = 228995^2 + 8236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52506541721 is a prime.

It is a super-2 number, since 2×52506541721² (a number of 22 digits) contains 22 as substring.

Together with 52506541723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52506541723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26253270860 + 26253270861.

It is an arithmetic number, because the mean of its divisors is an integer number (26253270861).

Almost surely, 2^52506541721 is an apocalyptic number.

It is an amenable number.

52506541721 is a deficient number, since it is larger than the sum of its proper divisors (1).

52506541721 is an equidigital number, since it uses as much as digits as its factorization.

52506541721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 52506541721 in words is "fifty-two billion, five hundred six million, five hundred forty-one thousand, seven hundred twenty-one".