257095825 has 24 divisors (see below), whose sum is σ = 366617408. Its totient is φ = 175193280.

The previous prime is 257095823. The next prime is 257095829. The reversal of 257095825 is 528590752.

It is not a de Polignac number, because 257095825 - 2¹ = 257095823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257095823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24019 + ... + 33031.

Almost surely, 2^257095825 is an apocalyptic number.

257095825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257095825 is a deficient number, since it is larger than the sum of its proper divisors (109521583).

257095825 is a wasteful number, since it uses less digits than its factorization.

257095825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 257095825 is about 16034.2079629772. The cubic root of 257095825 is about 635.8651278752.

The spelling of 257095825 in words is "two hundred fifty-seven million, ninety-five thousand, eight hundred twenty-five".