257025 has 24 divisors (see below), whose sum is σ = 446400. Its totient is φ = 130240.

The previous prime is 257017. The next prime is 257053. The reversal of 257025 is 520752.

It is not a de Polignac number, because 257025 - 2³ = 257017 is a prime.

It is a Curzon number.

257025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 256992 and 257010.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

It is a Proth number, since it is equal to 251 ⋅ 2¹⁰ + 1 and 251 < 2¹⁰.

2²⁵⁷⁰²⁵ is an apocalyptic number.

257025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257025 is a deficient number, since it is larger than the sum of its proper divisors (189375).

257025 is a wasteful number, since it uses less digits than its factorization.

257025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 257025 is about 506.9763308085. The cubic root of 257025 is about 63.5806732938.

Adding to 257025 its reverse (520752), we get a palindrome (777777).

The spelling of 257025 in words is "two hundred fifty-seven thousand, twenty-five".