257506303248 has 30 divisors (see below), whose sum is σ = 720660001854. Its totient is φ = 85835434368.

The previous prime is 257506303247. The next prime is 257506303279. The reversal of 257506303248 is 842303605752.

257506303248 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 0 + 630 + 3 + 2 + 4 + 8 = 666.

257506303248 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 only one way, i.e., 206886703104 + 50619600144 = 454848^2 + 224988^2 .

It is not an unprimeable number, because it can be changed into a prime (257506303247) 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 5 ways as a sum of consecutive naturals, for example, 894118965 + ... + 894119252.

Almost surely, 2^257506303248 is an apocalyptic number.

It is an amenable number.

257506303248 is an abundant number, since it is smaller than the sum of its proper divisors (463153698606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257506303248 is a wasteful number, since it uses less digits than its factorization.

257506303248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788238231 (or 1788238222 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 257506303248 in words is "two hundred fifty-seven billion, five hundred six million, three hundred three thousand, two hundred forty-eight".