257121225 has 27 divisors (see below), whose sum is σ = 460963893. Its totient is φ = 137003040.

The previous prime is 257121211. The next prime is 257121259. The reversal of 257121225 is 522121752.

The square root of 257121225 is 16035.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7733961 + 249387264 = 2781^2 + 15792^2 .

It is not a de Polignac number, because 257121225 - 2⁷ = 257121097 is a prime.

It is a super-2 number, since 2×257121225² = 132222648691001250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239991 + ... + 241059.

Almost surely, 2^257121225 is an apocalyptic number.

257121225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257121225 is the 16035-th square number.

257121225 is the 8018-th centered octagonal number.

It is an amenable number.

257121225 is a deficient number, since it is larger than the sum of its proper divisors (203842668).

257121225 is an equidigital number, since it uses as much as digits as its factorization.

257121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 1077 counting only the distinct ones).

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

The cubic root of 257121225 is about 635.8860674637.

Adding to 257121225 its reverse (522121752), we get a palindrome (779242977).

The spelling of 257121225 in words is "two hundred fifty-seven million, one hundred twenty-one thousand, two hundred twenty-five".