257462424264752 has 40 divisors (see below), whose sum is σ = 570184993137312. Its totient is φ = 110323692172800.

The previous prime is 257462424264719. The next prime is 257462424264757.

257462424264752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (257462424264757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179980199 + ... + 181405062.

Almost surely, 2^{257462424264752} is an apocalyptic number.

It is an amenable number.

257462424264752 is an abundant number, since it is smaller than the sum of its proper divisors (312722568872560).

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

257462424264752 is a wasteful number, since it uses less digits than its factorization.

257462424264752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361391637 (or 361391631 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 62.

The spelling of 257462424264752 in words is "two hundred fifty-seven trillion, four hundred sixty-two billion, four hundred twenty-four million, two hundred sixty-four thousand, seven hundred fifty-two".