247557518849 has 2 divisors, whose sum is σ = 247557518850. Its totient is φ = 247557518848.

The previous prime is 247557518833. The next prime is 247557518851. The reversal of 247557518849 is 948815755742.

247557518849 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., 212573557249 + 34983961600 = 461057^2 + 187040^2 .

It is a cyclic number.

It is not a de Polignac number, because 247557518849 - 2⁴ = 247557518833 is a prime.

It is a super-2 number, since 2×247557518849² (a number of 24 digits) contains 22 as substring.

Together with 247557518851, 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 (247557568849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123778759424 + 123778759425.

It is an arithmetic number, because the mean of its divisors is an integer number (123778759425).

Almost surely, 2^247557518849 is an apocalyptic number.

It is an amenable number.

247557518849 is a deficient number, since it is larger than the sum of its proper divisors (1).

247557518849 is an equidigital number, since it uses as much as digits as its factorization.

247557518849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896000, while the sum is 65.

The spelling of 247557518849 in words is "two hundred forty-seven billion, five hundred fifty-seven million, five hundred eighteen thousand, eight hundred forty-nine".