8707132116225 has 135 divisors (see below), whose sum is σ = 16866267631059. Its totient is φ = 4440341268000.

The previous prime is 8707132116191. The next prime is 8707132116283. The reversal of 8707132116225 is 5226112317078.

The square root of 8707132116225 is 2950785.

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

8707132116225 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 1 + 3 + 2 + 11 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3134567561841 + 5572564554384 = 1770471^2 + 2360628^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 8707132116225 - 2²⁵ = 8707098561793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 134 ways as a sum of consecutive naturals, for example, 3054061050 + ... + 3054063900.

Almost surely, 2^{8707132116225} is an apocalyptic number.

8707132116225 is the 2950785-th square number.

8707132116225 is the 1475393-rd centered octagonal number.

It is an amenable number.

8707132116225 is a deficient number, since it is larger than the sum of its proper divisors (8159135514834).

8707132116225 is an frugal number, since it uses more digits than its factorization.

8707132116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 8707132116225 in words is "eight trillion, seven hundred seven billion, one hundred thirty-two million, one hundred sixteen thousand, two hundred twenty-five".