257131072 has 56 divisors (see below), whose sum is σ = 559429920. Its totient is φ = 116290560.

The previous prime is 257131051. The next prime is 257131087. The reversal of 257131072 is 270131752.

It is a super-3 number, since 3×257131072³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 257131072.

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 7 ways as a sum of consecutive naturals, for example, 159004 + ... + 160612.

It is an arithmetic number, because the mean of its divisors is an integer number (9989820).

Almost surely, 2^257131072 is an apocalyptic number.

257131072 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 257131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279714960).

257131072 is an abundant number, since it is smaller than the sum of its proper divisors (302298848).

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

257131072 is a wasteful number, since it uses less digits than its factorization.

257131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 257131072 is about 16035.3070441448. The cubic root of 257131072 is about 635.8941848932.

The spelling of 257131072 in words is "two hundred fifty-seven million, one hundred thirty-one thousand, seventy-two".