52122238371017 has 2 divisors, whose sum is σ = 52122238371018. Its totient is φ = 52122238371016.

The previous prime is 52122238370963. The next prime is 52122238371019. The reversal of 52122238371017 is 71017383222125.

52122238371017 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., 36924630046096 + 15197608324921 = 6076564^2 + 3898411^2 .

It is a cyclic number.

It is not a de Polignac number, because 52122238371017 - 2¹⁴ = 52122238354633 is a prime.

It is a super-2 number, since 2×52122238371017² (a number of 28 digits) contains 22 as substring.

Together with 52122238371019, 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 (52122238371019) 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, 26061119185508 + 26061119185509.

It is an arithmetic number, because the mean of its divisors is an integer number (26061119185509).

Almost surely, 2^{52122238371017} is an apocalyptic number.

It is an amenable number.

52122238371017 is a deficient number, since it is larger than the sum of its proper divisors (1).

52122238371017 is an equidigital number, since it uses as much as digits as its factorization.

52122238371017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 52122238371017 in words is "fifty-two trillion, one hundred twenty-two billion, two hundred thirty-eight million, three hundred seventy-one thousand, seventeen".