257523201 has 24 divisors (see below), whose sum is σ = 402297896. Its totient is φ = 157800960.

The previous prime is 257523197. The next prime is 257523209. The reversal of 257523201 is 102325752.

It can be written as a sum of positive squares in 4 ways, for example, as 57017601 + 200505600 = 7551^2 + 14160^2 .

It is not a de Polignac number, because 257523201 - 2² = 257523197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257523209) 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, 23631 + ... + 32763.

Almost surely, 2^257523201 is an apocalyptic number.

It is an amenable number.

257523201 is a deficient number, since it is larger than the sum of its proper divisors (144774695).

257523201 is a wasteful number, since it uses less digits than its factorization.

257523201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9390 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257523201 is about 16047.5294360222. The cubic root of 257523201 is about 636.2172703150.

Adding to 257523201 its reverse (102325752), we get a palindrome (359848953).

The spelling of 257523201 in words is "two hundred fifty-seven million, five hundred twenty-three thousand, two hundred one".