257750253 has 12 divisors (see below), whose sum is σ = 373001148. Its totient is φ = 171512640.

The previous prime is 257750189. The next prime is 257750261. The reversal of 257750253 is 352057752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144072009 + 113678244 = 12003^2 + 10662^2 .

It is not a de Polignac number, because 257750253 - 2⁶ = 257750189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257750653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21600 + ... + 31337.

It is an arithmetic number, because the mean of its divisors is an integer number (31083429).

Almost surely, 2^257750253 is an apocalyptic number.

It is an amenable number.

257750253 is a deficient number, since it is larger than the sum of its proper divisors (115250895).

257750253 is a wasteful number, since it uses less digits than its factorization.

257750253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53484 (or 53481 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 257750253 is about 16054.6022373648. The cubic root of 257750253 is about 636.4041945350.

The spelling of 257750253 in words is "two hundred fifty-seven million, seven hundred fifty thousand, two hundred fifty-three".