257825381328 has 120 divisors (see below), whose sum is σ = 761263131200. Its totient is φ = 81232699392.

The previous prime is 257825381327. The next prime is 257825381399. The reversal of 257825381328 is 823183528752.

257825381328 is a `hidden beast` number, since 2 + 5 + 7 + 82 + 538 + 1 + 3 + 28 = 666.

257825381328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257825381328² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257825381327) 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 23 ways as a sum of consecutive naturals, for example, 1093776 + ... + 1308432.

Almost surely, 2^257825381328 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 257825381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380631565600).

257825381328 is an abundant number, since it is smaller than the sum of its proper divisors (503437749872).

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

257825381328 is a wasteful number, since it uses less digits than its factorization.

257825381328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215129 (or 215120 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 257825381328 in words is "two hundred fifty-seven billion, eight hundred twenty-five million, three hundred eighty-one thousand, three hundred twenty-eight".