257631232732075 has 48 divisors (see below), whose sum is σ = 327831170917536. Its totient is φ = 200733910272000.

The previous prime is 257631232732063. The next prime is 257631232732127. The reversal of 257631232732075 is 570237232136752.

It is not a de Polignac number, because 257631232732075 - 2²⁹ = 257630695861163 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153876149 + ... + 1154099401.

It is an arithmetic number, because the mean of its divisors is an integer number (6829816060782).

Almost surely, 2^{257631232732075} is an apocalyptic number.

257631232732075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257631232732075 is a deficient number, since it is larger than the sum of its proper divisors (70199938185461).

257631232732075 is a wasteful number, since it uses less digits than its factorization.

257631232732075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226384 (or 226379 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 55.

The spelling of 257631232732075 in words is "two hundred fifty-seven trillion, six hundred thirty-one billion, two hundred thirty-two million, seven hundred thirty-two thousand, seventy-five".