8746575566521 has 9 divisors (see below), whose sum is σ = 9471185588781. Its totient is φ = 8073726571872.

The previous prime is 8746575566501. The next prime is 8746575566611. The reversal of 8746575566521 is 1256655756478.

It is a happy number.

The square root of 8746575566521 is 2957461.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4844449422121 + 3902126144400 = 2201011^2 + 1975380^2 .

It is not a de Polignac number, because 8746575566521 - 2²³ = 8746567177913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8746575566501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38333245 + ... + 38560741.

It is an arithmetic number, because the mean of its divisors is an integer number (1052353954309).

Almost surely, 2^{8746575566521} is an apocalyptic number.

8746575566521 is the 2957461-st square number.

8746575566521 is the 1478731-st centered octagonal number.

It is an amenable number.

8746575566521 is a deficient number, since it is larger than the sum of its proper divisors (724610022260).

8746575566521 is an frugal number, since it uses more digits than its factorization.

8746575566521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455020 (or 227510 counting only the distinct ones).

The product of its digits is 423360000, while the sum is 67.

The spelling of 8746575566521 in words is "eight trillion, seven hundred forty-six billion, five hundred seventy-five million, five hundred sixty-six thousand, five hundred twenty-one".