257080641 has 8 divisors (see below), whose sum is σ = 348584160. Its totient is φ = 168482112.

The previous prime is 257080609. The next prime is 257080673. The reversal of 257080641 is 146080752.

It is an interprime number because it is at equal distance from previous prime (257080609) and next prime (257080673).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257080641 - 2⁵ = 257080609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257080841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726040 + ... + 726393.

It is an arithmetic number, because the mean of its divisors is an integer number (43573020).

Almost surely, 2^257080641 is an apocalyptic number.

It is an amenable number.

257080641 is a deficient number, since it is larger than the sum of its proper divisors (91503519).

257080641 is a wasteful number, since it uses less digits than its factorization.

257080641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452495.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 257080641 is about 16033.7344683015. The cubic root of 257080641 is about 635.8526096294.

The spelling of 257080641 in words is "two hundred fifty-seven million, eighty thousand, six hundred forty-one".