257085556 has 72 divisors (see below), whose sum is σ = 567984480. Its totient is φ = 100916928.

The previous prime is 257085553. The next prime is 257085557. The reversal of 257085556 is 655580752.

257085556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257085553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415015 + ... + 415633.

Almost surely, 2^257085556 is an apocalyptic number.

257085556 is a gapful number since it is divisible by the number (26) 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 257085556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283992240).

257085556 is an abundant number, since it is smaller than the sum of its proper divisors (310898924).

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

257085556 is a wasteful number, since it uses less digits than its factorization.

257085556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 43.

The square root of 257085556 is about 16033.8877381626. The cubic root of 257085556 is about 635.8566617894.

The spelling of 257085556 in words is "two hundred fifty-seven million, eighty-five thousand, five hundred fifty-six".