257233332752 has 30 divisors (see below), whose sum is σ = 547816652334. Its totient is φ = 116924241280.

The previous prime is 257233332749. The next prime is 257233332791.

257233332752 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 182308504576 + 74924828176 = 426976^2 + 273724^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66432293 + ... + 66436164.

Almost surely, 2^257233332752 is an apocalyptic number.

257233332752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257233332752 is an abundant number, since it is smaller than the sum of its proper divisors (290583319582).

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

257233332752 is a wasteful number, since it uses less digits than its factorization.

257233332752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132868487 (or 132868470 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 44.

It can be divided in two parts, 257233 and 332752, that added together give a palindrome (589985).

The spelling of 257233332752 in words is "two hundred fifty-seven billion, two hundred thirty-three million, three hundred thirty-two thousand, seven hundred fifty-two".