257482303284752 has 40 divisors (see below), whose sum is σ = 613996261682496. Its totient is φ = 101861130969216.

The previous prime is 257482303284749. The next prime is 257482303284763.

257482303284752 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88421119178 + ... + 88421122089.

Almost surely, 2^{257482303284752} is an apocalyptic number.

It is an amenable number.

257482303284752 is an abundant number, since it is smaller than the sum of its proper divisors (356513958397744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257482303284752 is a wasteful number, since it uses less digits than its factorization.

257482303284752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176842241295 (or 176842241289 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 62.

The spelling of 257482303284752 in words is "two hundred fifty-seven trillion, four hundred eighty-two billion, three hundred three million, two hundred eighty-four thousand, seven hundred fifty-two".