257247929742752 has 24 divisors (see below), whose sum is σ = 545415081811236. Its totient is φ = 118729813727232.

The previous prime is 257247929742751. The next prime is 257247929742787.

257247929742752 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 182144283335056 + 75103646407696 = 13496084^2 + 8666236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257247929742752.

It is not an unprimeable number, because it can be changed into a prime (257247929742751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309192222833 + ... + 309192223664.

Almost surely, 2^{257247929742752} is an apocalyptic number.

It is an amenable number.

257247929742752 is an abundant number, since it is smaller than the sum of its proper divisors (288167152068484).

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

257247929742752 is a wasteful number, since it uses less digits than its factorization.

257247929742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618384446520 (or 618384446512 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 74.

The spelling of 257247929742752 in words is "two hundred fifty-seven trillion, two hundred forty-seven billion, nine hundred twenty-nine million, seven hundred forty-two thousand, seven hundred fifty-two".