122553325289 has 2 divisors, whose sum is σ = 122553325290. Its totient is φ = 122553325288.

The previous prime is 122553325259. The next prime is 122553325291. The reversal of 122553325289 is 982523355221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86800944400 + 35752380889 = 294620^2 + 189083^2 .

It is an emirp because it is prime and its reverse (982523355221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122553325289 - 2¹⁶ = 122553259753 is a prime.

It is a super-3 number, since 3×122553325289³ (a number of 34 digits) contains 333 as substring.

Together with 122553325291, 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 (122553325259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61276662644 + 61276662645.

It is an arithmetic number, because the mean of its divisors is an integer number (61276662645).

Almost surely, 2^122553325289 is an apocalyptic number.

It is an amenable number.

122553325289 is a deficient number, since it is larger than the sum of its proper divisors (1).

122553325289 is an equidigital number, since it uses as much as digits as its factorization.

122553325289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296000, while the sum is 47.

The spelling of 122553325289 in words is "one hundred twenty-two billion, five hundred fifty-three million, three hundred twenty-five thousand, two hundred eighty-nine".