257794830225 has 63 divisors (see below), whose sum is σ = 479406602689. Its totient is φ = 137454019200.

The previous prime is 257794830157. The next prime is 257794830281. The reversal of 257794830225 is 522038497752.

The square root of 257794830225 is 507735.

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

257794830225 is a `hidden beast` number, since 2 + 577 + 9 + 48 + 3 + 0 + 2 + 25 = 666.

257794830225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9802782081 + 247992048144 = 99009^2 + 497988^2 .

It is not a de Polignac number, because 257794830225 - 2⁹ = 257794829713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 68542345 + ... + 68546105.

Almost surely, 2^257794830225 is an apocalyptic number.

257794830225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257794830225 is the 507735-th square number.

257794830225 is the 253868-th centered octagonal number.

It is an amenable number.

257794830225 is a deficient number, since it is larger than the sum of its proper divisors (221611772464).

257794830225 is an frugal number, since it uses more digits than its factorization.

257794830225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 257794830225 in words is "two hundred fifty-seven billion, seven hundred ninety-four million, eight hundred thirty thousand, two hundred twenty-five".