248146325729 has 2 divisors, whose sum is σ = 248146325730. Its totient is φ = 248146325728.

The previous prime is 248146325723. The next prime is 248146325731. The reversal of 248146325729 is 927523641842.

248146325729 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., 245659009600 + 2487316129 = 495640^2 + 49873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-248146325729 is a prime.

Together with 248146325731, 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 (248146325723) 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, 124073162864 + 124073162865.

It is an arithmetic number, because the mean of its divisors is an integer number (124073162865).

Almost surely, 2^248146325729 is an apocalyptic number.

It is an amenable number.

248146325729 is a deficient number, since it is larger than the sum of its proper divisors (1).

248146325729 is an equidigital number, since it uses as much as digits as its factorization.

248146325729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5806080, while the sum is 53.

The spelling of 248146325729 in words is "two hundred forty-eight billion, one hundred forty-six million, three hundred twenty-five thousand, seven hundred twenty-nine".