257971236089 has 32 divisors (see below), whose sum is σ = 301699157760. Its totient is φ = 216000675072.

The previous prime is 257971236073. The next prime is 257971236121. The reversal of 257971236089 is 980632179752.

It is not a de Polignac number, because 257971236089 - 2⁴ = 257971236073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257971236059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110290082 + ... + 110292420.

It is an arithmetic number, because the mean of its divisors is an integer number (9428098680).

Almost surely, 2^257971236089 is an apocalyptic number.

It is an amenable number.

257971236089 is a deficient number, since it is larger than the sum of its proper divisors (43727921671).

257971236089 is a wasteful number, since it uses less digits than its factorization.

257971236089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 257971236089 in words is "two hundred fifty-seven billion, nine hundred seventy-one million, two hundred thirty-six thousand, eighty-nine".