257525305 has 16 divisors (see below), whose sum is σ = 319397904. Its totient is φ = 199198720.

The previous prime is 257525263. The next prime is 257525309. The reversal of 257525305 is 503525752.

It can be written as a sum of positive squares in 8 ways, for example, as 158860816 + 98664489 = 12604^2 + 9933^2 .

It is not a de Polignac number, because 257525305 - 2¹¹ = 257523257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257525309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17607 + ... + 28723.

It is an arithmetic number, because the mean of its divisors is an integer number (19962369).

Almost surely, 2^257525305 is an apocalyptic number.

It is an amenable number.

257525305 is a deficient number, since it is larger than the sum of its proper divisors (61872599).

257525305 is a wasteful number, since it uses less digits than its factorization.

257525305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276.

The product of its (nonzero) digits is 52500, while the sum is 34.

The square root of 257525305 is about 16047.5949911505. The cubic root of 257525305 is about 636.2190029711.

The spelling of 257525305 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, three hundred five".