257434434752 has 42 divisors (see below), whose sum is σ = 561508931844. Its totient is φ = 117015648640.

The previous prime is 257434434737. The next prime is 257434434757.

257434434752 is nontrivially palindromic in base 10.

257434434752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257434434752.

It is not an unprimeable number, because it can be changed into a prime (257434434757) 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 5 ways as a sum of consecutive naturals, for example, 16613798 + ... + 16629285.

It is an arithmetic number, because the mean of its divisors is an integer number (13369260282).

Almost surely, 2^257434434752 is an apocalyptic number.

257434434752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257434434752 is an abundant number, since it is smaller than the sum of its proper divisors (304074497092).

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

257434434752 is a wasteful number, since it uses less digits than its factorization.

257434434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33243117 (or 33243096 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 50.

The spelling of 257434434752 in words is "two hundred fifty-seven billion, four hundred thirty-four million, four hundred thirty-four thousand, seven hundred fifty-two".