8515161705625 has 45 divisors (see below), whose sum is σ = 10725354880779. Its totient is φ = 6758261700000.

The previous prime is 8515161705539. The next prime is 8515161705643. The reversal of 8515161705625 is 5265071615158.

The square root of 8515161705625 is 2918075.

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 8508113095689 + 7048609936 = 2916867^2 + 83956^2 .

It is not a de Polignac number, because 8515161705625 - 2¹⁹ = 8515161181337 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 44 ways as a sum of consecutive naturals, for example, 11015732739 + ... + 11015733511.

Almost surely, 2^{8515161705625} is an apocalyptic number.

8515161705625 is the 2918075-th square number.

8515161705625 is the 1459038-th centered octagonal number.

It is an amenable number.

8515161705625 is a deficient number, since it is larger than the sum of its proper divisors (2210193175154).

8515161705625 is an frugal number, since it uses more digits than its factorization.

8515161705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 52.

The spelling of 8515161705625 in words is "eight trillion, five hundred fifteen billion, one hundred sixty-one million, seven hundred five thousand, six hundred twenty-five".