257058314 has 16 divisors (see below), whose sum is σ = 396802536. Its totient is φ = 124804800.

The previous prime is 257058311. The next prime is 257058317. The reversal of 257058314 is 413850752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257058311) and next prime (257058317).

It can be written as a sum of positive squares in 4 ways, for example, as 229674025 + 27384289 = 15155^2 + 5233^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (257058311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36824 + ... + 43244.

Almost surely, 2^257058314 is an apocalyptic number.

257058314 is a deficient number, since it is larger than the sum of its proper divisors (139744222).

257058314 is a wasteful number, since it uses less digits than its factorization.

257058314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 257058314 is about 16033.0382024119. The cubic root of 257058314 is about 635.8342015375.

The spelling of 257058314 in words is "two hundred fifty-seven million, fifty-eight thousand, three hundred fourteen".