2579138319752 has 8 divisors (see below), whose sum is σ = 4835884349550. Its totient is φ = 1289569159872.

The previous prime is 2579138319743. The next prime is 2579138319773.

2579138319752 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2326497381796 + 252640937956 = 1525286^2 + 502634^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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 as a sum of consecutive naturals, namely, 161196144977 + ... + 161196144992.

Almost surely, 2^{2579138319752} is an apocalyptic number.

It is an amenable number.

2579138319752 is a deficient number, since it is larger than the sum of its proper divisors (2256746029798).

2579138319752 is a wasteful number, since it uses less digits than its factorization.

2579138319752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322392289975 (or 322392289971 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 62.

The spelling of 2579138319752 in words is "two trillion, five hundred seventy-nine billion, one hundred thirty-eight million, three hundred nineteen thousand, seven hundred fifty-two".