257641225 has 12 divisors (see below), whose sum is σ = 319970716. Its totient is φ = 205793280.

The previous prime is 257641211. The next prime is 257641261. The reversal of 257641225 is 522146752.

It can be written as a sum of positive squares in 6 ways, for example, as 86266944 + 171374281 = 9288^2 + 13091^2 .

It is not a de Polignac number, because 257641225 - 2²¹ = 255544073 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9169 + ... + 24481.

Almost surely, 2^257641225 is an apocalyptic number.

257641225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257641225 is a deficient number, since it is larger than the sum of its proper divisors (62329491).

257641225 is a wasteful number, since it uses less digits than its factorization.

257641225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15996 (or 15991 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 257641225 is about 16051.2063409577. The cubic root of 257641225 is about 636.3144491821.

Adding to 257641225 its reverse (522146752), we get a palindrome (779787977).

The spelling of 257641225 in words is "two hundred fifty-seven million, six hundred forty-one thousand, two hundred twenty-five".