52164337321 has 2 divisors, whose sum is σ = 52164337322. Its totient is φ = 52164337320.

The previous prime is 52164337319. The next prime is 52164337339. The reversal of 52164337321 is 12373346125.

52164337321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45471297600 + 6693039721 = 213240^2 + 81811^2 .

It is a cyclic number.

It is not a de Polignac number, because 52164337321 - 2¹ = 52164337319 is a prime.

It is a super-2 number, since 2×52164337321² (a number of 22 digits) contains 22 as substring.

Together with 52164337319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (52164337301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26082168660 + 26082168661.

It is an arithmetic number, because the mean of its divisors is an integer number (26082168661).

Almost surely, 2^52164337321 is an apocalyptic number.

It is an amenable number.

52164337321 is a deficient number, since it is larger than the sum of its proper divisors (1).

52164337321 is an equidigital number, since it uses as much as digits as its factorization.

52164337321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 37.

The spelling of 52164337321 in words is "fifty-two billion, one hundred sixty-four million, three hundred thirty-seven thousand, three hundred twenty-one".