1279783125625 has 45 divisors (see below), whose sum is σ = 1644952252251. Its totient is φ = 995340996000.

The previous prime is 1279783125619. The next prime is 1279783125659. The reversal of 1279783125625 is 5265213879721.

The square root of 1279783125625 is 1131275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 424920155881 + 854862969744 = 651859^2 + 924588^2 .

It is not a de Polignac number, because 1279783125625 - 2¹⁹ = 1279782601337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1279783125625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1046428764 + ... + 1046429986.

Almost surely, 2^{1279783125625} is an apocalyptic number.

1279783125625 is the 1131275-th square number.

1279783125625 is the 565638-th centered octagonal number.

It is an amenable number.

1279783125625 is a deficient number, since it is larger than the sum of its proper divisors (365169126626).

1279783125625 is an frugal number, since it uses more digits than its factorization.

1279783125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 1265 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The spelling of 1279783125625 in words is "one trillion, two hundred seventy-nine billion, seven hundred eighty-three million, one hundred twenty-five thousand, six hundred twenty-five".