2252004001321 has 2 divisors, whose sum is σ = 2252004001322. Its totient is φ = 2252004001320.

The previous prime is 2252004001213. The next prime is 2252004001337. The reversal of 2252004001321 is 1231004002522.

It is a happy number.

Together with previous prime (2252004001213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333588445721 + 918415555600 = 1154811^2 + 958340^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252004001321 - 2²⁷ = 2251869783593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252004001292 and 2252004001301.

It is not a weakly prime, because it can be changed into another prime (2252004001361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126002000660 + 1126002000661.

It is an arithmetic number, because the mean of its divisors is an integer number (1126002000661).

Almost surely, 2^{2252004001321} is an apocalyptic number.

It is an amenable number.

2252004001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252004001321 is an equidigital number, since it uses as much as digits as its factorization.

2252004001321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2252004001321 its reverse (1231004002522), we get a palindrome (3483008003843).

The spelling of 2252004001321 in words is "two trillion, two hundred fifty-two billion, four million, one thousand, three hundred twenty-one".