248289962257 has 12 divisors (see below), whose sum is σ = 253485862924. Its totient is φ = 243198259200.

The previous prime is 248289962243. The next prime is 248289962281. The reversal of 248289962257 is 752269982842.

248289962257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8695376001 + 239594586256 = 93249^2 + 489484^2 .

It is not a de Polignac number, because 248289962257 - 2³¹ = 246142478609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248289962237) 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 in 11 ways as a sum of consecutive naturals, for example, 1614673 + ... + 1761745.

Almost surely, 2^248289962257 is an apocalyptic number.

It is an amenable number.

248289962257 is a deficient number, since it is larger than the sum of its proper divisors (5195900667).

248289962257 is an equidigital number, since it uses as much as digits as its factorization.

248289962257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147780 (or 147727 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The spelling of 248289962257 in words is "two hundred forty-eight billion, two hundred eighty-nine million, nine hundred sixty-two thousand, two hundred fifty-seven".