249920755729 has 2 divisors, whose sum is σ = 249920755730. Its totient is φ = 249920755728.

The previous prime is 249920755727. The next prime is 249920755787. The reversal of 249920755729 is 927557029942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149187517504 + 100733238225 = 386248^2 + 317385^2 .

It is a cyclic number.

It is not a de Polignac number, because 249920755729 - 2¹ = 249920755727 is a prime.

Together with 249920755727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (249920755723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124960377864 + 124960377865.

It is an arithmetic number, because the mean of its divisors is an integer number (124960377865).

Almost surely, 2^249920755729 is an apocalyptic number.

It is an amenable number.

249920755729 is a deficient number, since it is larger than the sum of its proper divisors (1).

249920755729 is an equidigital number, since it uses as much as digits as its factorization.

249920755729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 249920755729 in words is "two hundred forty-nine billion, nine hundred twenty million, seven hundred fifty-five thousand, seven hundred twenty-nine".