2252253003361 has 2 divisors, whose sum is σ = 2252253003362. Its totient is φ = 2252253003360.

The previous prime is 2252253003347. The next prime is 2252253003409. The reversal of 2252253003361 is 1633003522522.

It is a happy number.

2252253003361 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., 2213667865600 + 38585137761 = 1487840^2 + 196431^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252253003361 - 2¹³ = 2252252995169 is a prime.

It is a super-3 number, since 3×2252253003361³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2252253003061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126126501680 + 1126126501681.

It is an arithmetic number, because the mean of its divisors is an integer number (1126126501681).

Almost surely, 2^{2252253003361} is an apocalyptic number.

It is an amenable number.

2252253003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252253003361 is an equidigital number, since it uses as much as digits as its factorization.

2252253003361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 2252253003361 its reverse (1633003522522), we get a palindrome (3885256525883).

The spelling of 2252253003361 in words is "two trillion, two hundred fifty-two billion, two hundred fifty-three million, three thousand, three hundred sixty-one".