257541120 has 352 divisors, whose sum is σ = 966839040. Its totient is φ = 65691648.

The previous prime is 257541113. The next prime is 257541133. The reversal of 257541120 is 21145752.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11197429 + ... + 11197451.

Almost surely, 2^257541120 is an apocalyptic number.

257541120 is a gapful number since it is divisible by the number (20) 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 257541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483419520).

257541120 is an abundant number, since it is smaller than the sum of its proper divisors (709297920).

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

257541120 is an frugal number, since it uses more digits than its factorization.

257541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 257541120 is about 16048.0877365498. The cubic root of 257541120 is about 636.2320264131.

Adding to 257541120 its reverse (21145752), we get a palindrome (278686872).

The spelling of 257541120 in words is "two hundred fifty-seven million, five hundred forty-one thousand, one hundred twenty".