257025524352 has 128 divisors (see below), whose sum is σ = 693670747200. Its totient is φ = 84304281600.

The previous prime is 257025524339. The next prime is 257025524359. The reversal of 257025524352 is 253425520752.

It is a happy number.

257025524352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (257025524359) 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 15 ways as a sum of consecutive naturals, for example, 25954602 + ... + 25964502.

Almost surely, 2^257025524352 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 257025524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346835373600).

257025524352 is an abundant number, since it is smaller than the sum of its proper divisors (436645222848).

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

257025524352 is a wasteful number, since it uses less digits than its factorization.

257025524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 42.

The spelling of 257025524352 in words is "two hundred fifty-seven billion, twenty-five million, five hundred twenty-four thousand, three hundred fifty-two".