257121088 has 56 divisors (see below), whose sum is σ = 587451200. Its totient is φ = 109375488.

The previous prime is 257121079. The next prime is 257121097. The reversal of 257121088 is 880121752.

257121088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257121079) and next prime (257121097).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×257121088² = 132222507788607488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60208 + ... + 64336.

It is an arithmetic number, because the mean of its divisors is an integer number (10490200).

Almost surely, 2^257121088 is an apocalyptic number.

257121088 is a gapful number since it is divisible by the number (28) 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 257121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293725600).

257121088 is an abundant number, since it is smaller than the sum of its proper divisors (330330112).

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

257121088 is a wasteful number, since it uses less digits than its factorization.

257121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 257121088 is about 16034.9957280942. The cubic root of 257121088 is about 635.8859545256.

The spelling of 257121088 in words is "two hundred fifty-seven million, one hundred twenty-one thousand, eighty-eight".