257003005248 has 168 divisors, whose sum is σ = 833385440160. Its totient is φ = 77879646720.

The previous prime is 257003005223. The next prime is 257003005309. The reversal of 257003005248 is 842500300752.

257003005248 is a `hidden beast` number, since 2 + 570 + 0 + 30 + 0 + 52 + 4 + 8 = 666.

It is a super-3 number, since 3×257003005248³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580083 + ... + 922226.

It is an arithmetic number, because the mean of its divisors is an integer number (4960627620).

Almost surely, 2^257003005248 is an apocalyptic number.

It is an amenable number.

257003005248 is an abundant number, since it is smaller than the sum of its proper divisors (576382434912).

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

257003005248 is a wasteful number, since it uses less digits than its factorization.

257003005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502347 (or 1502325 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 257003005248 in words is "two hundred fifty-seven billion, three million, five thousand, two hundred forty-eight".