8712975650625 has 105 divisors (see below), whose sum is σ = 16327867768399. Its totient is φ = 4645857708000.

The previous prime is 8712975650623. The next prime is 8712975650653. The reversal of 8712975650625 is 5260565792178.

The square root of 8712975650625 is 2951775.

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

8712975650625 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 9 + 7 + 565 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6123798586161 + 2589177064464 = 2474631^2 + 1609092^2 .

It is not a de Polignac number, because 8712975650625 - 2¹ = 8712975650623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8712975650623) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 1992445939 + ... + 1992450311.

Almost surely, 2^{8712975650625} is an apocalyptic number.

8712975650625 is the 2951775-th square number.

8712975650625 is the 1475888-th centered octagonal number.

It is an amenable number.

8712975650625 is a deficient number, since it is larger than the sum of its proper divisors (7614892117774).

8712975650625 is an frugal number, since it uses more digits than its factorization.

8712975650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

It can be divided in two parts, 8712975 and 650625, that added together give a square (9363600 = 3060²).

The spelling of 8712975650625 in words is "eight trillion, seven hundred twelve billion, nine hundred seventy-five million, six hundred fifty thousand, six hundred twenty-five".