7879613914225 has 27 divisors (see below), whose sum is σ = 10015575411459. Its totient is φ = 6149493436800.

The previous prime is 7879613914169. The next prime is 7879613914273. The reversal of 7879613914225 is 5224193169787.

The square root of 7879613914225 is 2807065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3583876830769 + 4295737083456 = 1893113^2 + 2072616^2 .

It is not a de Polignac number, because 7879613914225 - 2²¹ = 7879611817073 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 575441479 + ... + 575455171.

Almost surely, 2^{7879613914225} is an apocalyptic number.

7879613914225 is the 2807065-th square number.

7879613914225 is the 1403533-rd centered octagonal number.

It is an amenable number.

7879613914225 is a deficient number, since it is larger than the sum of its proper divisors (2135961497234).

7879613914225 is an frugal number, since it uses more digits than its factorization.

7879613914225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27478 (or 13739 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

Multiplying 7879613914225 by its sum of digits (64), we get a square (504295290510400 = 22456520²).

The spelling of 7879613914225 in words is "seven trillion, eight hundred seventy-nine billion, six hundred thirteen million, nine hundred fourteen thousand, two hundred twenty-five".