257008114 has 40 divisors (see below), whose sum is σ = 433675440. Its totient is φ = 114199800.

The previous prime is 257008111. The next prime is 257008123. The reversal of 257008114 is 411800752.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (257008111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1961829 + ... + 1961959.

It is an arithmetic number, because the mean of its divisors is an integer number (10841886).

Almost surely, 2^257008114 is an apocalyptic number.

257008114 is a deficient number, since it is larger than the sum of its proper divisors (176667326).

257008114 is an equidigital number, since it uses as much as digits as its factorization.

257008114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 257008114 is about 16031.4726085909. The cubic root of 257008114 is about 635.7928089128.

Adding to 257008114 its reverse (411800752), we get a palindrome (668808866).

The spelling of 257008114 in words is "two hundred fifty-seven million, eight thousand, one hundred fourteen".