257474343474752 has 56 divisors (see below), whose sum is σ = 520553692749816. Its totient is φ = 126329112096768.

The previous prime is 257474343474749. The next prime is 257474343474757.

257474343474752 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 136922200293376 + 120552143181376 = 11701376^2 + 10979624^2 .

It is a super-2 number, since 2×257474343474752² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257474343474757) 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, 138952943 + ... + 140793710.

Almost surely, 2^{257474343474752} is an apocalyptic number.

It is an amenable number.

257474343474752 is an abundant number, since it is smaller than the sum of its proper divisors (263079349275064).

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

257474343474752 is a wasteful number, since it uses less digits than its factorization.

257474343474752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279746935 (or 279746925 counting only the distinct ones).

The product of its digits is 2212761600, while the sum is 68.

The spelling of 257474343474752 in words is "two hundred fifty-seven trillion, four hundred seventy-four billion, three hundred forty-three million, four hundred seventy-four thousand, seven hundred fifty-two".