1052201612321 has 2 divisors, whose sum is σ = 1052201612322. Its totient is φ = 1052201612320.

The previous prime is 1052201612257. The next prime is 1052201612323. The reversal of 1052201612321 is 1232161022501.

1052201612321 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., 1010348635921 + 41852976400 = 1005161^2 + 204580^2 .

It is an emirp because it is prime and its reverse (1232161022501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1052201612321 - 2⁶ = 1052201612257 is a prime.

It is a super-2 number, since 2×1052201612321² (a number of 25 digits) contains 22 as substring.

Together with 1052201612323, 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 (1052201612323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526100806160 + 526100806161.

It is an arithmetic number, because the mean of its divisors is an integer number (526100806161).

Almost surely, 2^{1052201612321} is an apocalyptic number.

It is an amenable number.

1052201612321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052201612321 is an equidigital number, since it uses as much as digits as its factorization.

1052201612321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 1052201612321 its reverse (1232161022501), we get a palindrome (2284362634822).

The spelling of 1052201612321 in words is "one trillion, fifty-two billion, two hundred one million, six hundred twelve thousand, three hundred twenty-one".