257672225 has 6 divisors (see below), whose sum is σ = 319513590. Its totient is φ = 206137760.

The previous prime is 257672209. The next prime is 257672227. The reversal of 257672225 is 522276752.

257672225 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 3 ways, for example, as 83247376 + 174424849 = 9124^2 + 13207^2 .

It is not a de Polignac number, because 257672225 - 2⁴ = 257672209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257672227) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5153420 + ... + 5153469.

It is an arithmetic number, because the mean of its divisors is an integer number (53252265).

Almost surely, 2^257672225 is an apocalyptic number.

257672225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257672225 is a deficient number, since it is larger than the sum of its proper divisors (61841365).

257672225 is a wasteful number, since it uses less digits than its factorization.

257672225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306899 (or 10306894 counting only the distinct ones).

The product of its digits is 117600, while the sum is 38.

The square root of 257672225 is about 16052.1719714187. The cubic root of 257672225 is about 636.3399691105.

The spelling of 257672225 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, two hundred twenty-five".