257522225752 has 128 divisors (see below), whose sum is σ = 544015180800. Its totient is φ = 113295398400.

The previous prime is 257522225717. The next prime is 257522225759.

257522225752 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257522225759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92333574 + ... + 92336362.

It is an arithmetic number, because the mean of its divisors is an integer number (4250118600).

Almost surely, 2^257522225752 is an apocalyptic number.

257522225752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257522225752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272007590400).

257522225752 is an abundant number, since it is smaller than the sum of its proper divisors (286492955048).

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

257522225752 is a wasteful number, since it uses less digits than its factorization.

257522225752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its digits is 1960000, while the sum is 46.

The spelling of 257522225752 in words is "two hundred fifty-seven billion, five hundred twenty-two million, two hundred twenty-five thousand, seven hundred fifty-two".