257342243752 has 32 divisors (see below), whose sum is σ = 527021599680. Its totient is φ = 116831583360.

The previous prime is 257342243747. The next prime is 257342243759.

257342243752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (257342243759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1704213 + ... + 1849060.

It is an arithmetic number, because the mean of its divisors is an integer number (16469424990).

Almost surely, 2^257342243752 is an apocalyptic number.

257342243752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257342243752 is an abundant number, since it is smaller than the sum of its proper divisors (269679355928).

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

257342243752 is a wasteful number, since it uses less digits than its factorization.

257342243752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554113 (or 3554109 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 46.

The spelling of 257342243752 in words is "two hundred fifty-seven billion, three hundred forty-two million, two hundred forty-three thousand, seven hundred fifty-two".