257461323164752 has 60 divisors (see below), whose sum is σ = 580326226357440. Its totient is φ = 110330476498368.

The previous prime is 257461323164693. The next prime is 257461323164849.

257461323164752 is nontrivially palindromic in base 10.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 6434088 + ... + 23586439.

It is an arithmetic number, because the mean of its divisors is an integer number (9672103772624).

Almost surely, 2^{257461323164752} is an apocalyptic number.

It is an amenable number.

257461323164752 is an abundant number, since it is smaller than the sum of its proper divisors (322864903192688).

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

257461323164752 is a wasteful number, since it uses less digits than its factorization.

257461323164752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30031488 (or 30031475 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 58.

The spelling of 257461323164752 in words is "two hundred fifty-seven trillion, four hundred sixty-one billion, three hundred twenty-three million, one hundred sixty-four thousand, seven hundred fifty-two".