257515248 has 80 divisors (see below), whose sum is σ = 677340576. Its totient is φ = 84295680.

The previous prime is 257515243. The next prime is 257515253. The reversal of 257515248 is 842515752.

It is an interprime number because it is at equal distance from previous prime (257515243) and next prime (257515253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257515243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068408 + ... + 1068648.

Almost surely, 2^257515248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257515248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338670288).

257515248 is an abundant number, since it is smaller than the sum of its proper divisors (419825328).

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

257515248 is a wasteful number, since it uses less digits than its factorization.

257515248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its digits is 112000, while the sum is 39.

The square root of 257515248 is about 16047.2816389568. The cubic root of 257515248 is about 636.2107208882.

The spelling of 257515248 in words is "two hundred fifty-seven million, five hundred fifteen thousand, two hundred forty-eight".