257128100 has 18 divisors (see below), whose sum is σ = 557968194. Its totient is φ = 102851200.

The previous prime is 257128093. The next prime is 257128127. The reversal of 257128100 is 1821752.

It can be written as a sum of positive squares in 3 ways, for example, as 63138916 + 193989184 = 7946^2 + 13928^2 .

It is a super-2 number, since 2×257128100² = 132229719619220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257128100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1285541 + ... + 1285740.

It is an arithmetic number, because the mean of its divisors is an integer number (30998233).

Almost surely, 2^257128100 is an apocalyptic number.

257128100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257128100 is an abundant number, since it is smaller than the sum of its proper divisors (300840094).

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

257128100 is a wasteful number, since it uses less digits than its factorization.

257128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571295 (or 2571288 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 257128100 is about 16035.2143733721. The cubic root of 257128100 is about 635.8917349302.

Adding to 257128100 its reverse (1821752), we get a palindrome (258949852).

The spelling of 257128100 in words is "two hundred fifty-seven million, one hundred twenty-eight thousand, one hundred".