8686017312025 has 27 divisors (see below), whose sum is σ = 11441828505751. Its totient is φ = 6539871472640.

The previous prime is 8686017312001. The next prime is 8686017312067. The reversal of 8686017312025 is 5202137106868.

It is a happy number.

The square root of 8686017312025 is 2947205.

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 7240819029129 + 1445198282896 = 2690877^2 + 1202164^2 .

It is not a de Polignac number, because 8686017312025 - 2¹³ = 8686017303833 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 8686017312025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 250495089 + ... + 250529761.

Almost surely, 2^{8686017312025} is an apocalyptic number.

8686017312025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8686017312025 is the 2947205-th square number.

8686017312025 is the 1473603-rd centered octagonal number.

It is an amenable number.

8686017312025 is a deficient number, since it is larger than the sum of its proper divisors (2755811193726).

8686017312025 is an frugal number, since it uses more digits than its factorization.

8686017312025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69390 (or 34695 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 8686017312025 by its sum of digits (49), we get a square (425614848289225 = 20630435²).

The spelling of 8686017312025 in words is "eight trillion, six hundred eighty-six billion, seventeen million, three hundred twelve thousand, twenty-five".