49908122566273 has 2 divisors, whose sum is σ = 49908122566274. Its totient is φ = 49908122566272.

The previous prime is 49908122566229. The next prime is 49908122566303. The reversal of 49908122566273 is 37266522180994.

49908122566273 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., 49606553548864 + 301569017409 = 7043192^2 + 549153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-49908122566273 is a prime.

It is a super-3 number, since 3×49908122566273³ (a number of 42 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 (49908122566073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24954061283136 + 24954061283137.

It is an arithmetic number, because the mean of its divisors is an integer number (24954061283137).

It is a 1-persistent number, because it is pandigital, but 2⋅49908122566273 = 99816245132546 is not.

Almost surely, 2^{49908122566273} is an apocalyptic number.

It is an amenable number.

49908122566273 is a deficient number, since it is larger than the sum of its proper divisors (1).

49908122566273 is an equidigital number, since it uses as much as digits as its factorization.

49908122566273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 49908122566273 in words is "forty-nine trillion, nine hundred eight billion, one hundred twenty-two million, five hundred sixty-six thousand, two hundred seventy-three".