8103786291225 has 81 divisors (see below), whose sum is σ = 14612487511063. Its totient is φ = 4293119504640.

The previous prime is 8103786291151. The next prime is 8103786291241. The reversal of 8103786291225 is 5221926873018.

The square root of 8103786291225 is 2846715.

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

8103786291225 is a `hidden beast` number, since 8 + 1 + 0 + 3 + 7 + 8 + 629 + 1 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3126032627481 + 4977753663744 = 1768059^2 + 2231088^2 .

It is not a de Polignac number, because 8103786291225 - 2⁹ = 8103786290713 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 7387224877 + ... + 7387225973.

Almost surely, 2^{8103786291225} is an apocalyptic number.

8103786291225 is the 2846715-th square number.

8103786291225 is the 1423358-th centered octagonal number.

It is an amenable number.

8103786291225 is a deficient number, since it is larger than the sum of its proper divisors (6508701219838).

8103786291225 is an equidigital number, since it uses as much as digits as its factorization.

8103786291225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8103786291225 in words is "eight trillion, one hundred three billion, seven hundred eighty-six million, two hundred ninety-one thousand, two hundred twenty-five".