248133611657 has 2 divisors, whose sum is σ = 248133611658. Its totient is φ = 248133611656.

The previous prime is 248133611653. The next prime is 248133611707. The reversal of 248133611657 is 756116331842.

248133611657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133382726656 + 114750885001 = 365216^2 + 338749^2 .

It is a cyclic number.

It is not a de Polignac number, because 248133611657 - 2² = 248133611653 is a prime.

It is not a weakly prime, because it can be changed into another prime (248133611653) 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, 124066805828 + 124066805829.

It is an arithmetic number, because the mean of its divisors is an integer number (124066805829).

Almost surely, 2^248133611657 is an apocalyptic number.

It is an amenable number.

248133611657 is a deficient number, since it is larger than the sum of its proper divisors (1).

248133611657 is an equidigital number, since it uses as much as digits as its factorization.

248133611657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 47.

The spelling of 248133611657 in words is "two hundred forty-eight billion, one hundred thirty-three million, six hundred eleven thousand, six hundred fifty-seven".