257888641 has 2 divisors, whose sum is σ = 257888642. Its totient is φ = 257888640.

The previous prime is 257888639. The next prime is 257888669. The reversal of 257888641 is 146888752.

257888641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187580416 + 70308225 = 13696^2 + 8385^2 .

It is a cyclic number.

It is not a de Polignac number, because 257888641 - 2¹ = 257888639 is a prime.

Together with 257888639, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257882641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128944320 + 128944321.

It is an arithmetic number, because the mean of its divisors is an integer number (128944321).

Almost surely, 2^257888641 is an apocalyptic number.

It is an amenable number.

257888641 is a deficient number, since it is larger than the sum of its proper divisors (1).

257888641 is an equidigital number, since it uses as much as digits as its factorization.

257888641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 860160, while the sum is 49.

The square root of 257888641 is about 16058.9115758198. The cubic root of 257888641 is about 636.5180708492.

It can be divided in two parts, 2578 and 88641, that added together give a palindrome (91219).

The spelling of 257888641 in words is "two hundred fifty-seven million, eight hundred eighty-eight thousand, six hundred forty-one".