217132396280569 has 81 divisors (see below), whose sum is σ = 294950261778669. Its totient is φ = 159227336378880.

The previous prime is 217132396280543. The next prime is 217132396280593. The reversal of 217132396280569 is 965082693231712.

It is a happy number.

The square root of 217132396280569 is 14735413.

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 86349385398969 + 130783010881600 = 9292437^2 + 11436040^2 .

It is not a de Polignac number, because 217132396280569 - 2³⁵ = 217098036542201 is a prime.

It is a super-2 number, since 2×217132396280569² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 217132396280569.

It is not an unprimeable number, because it can be changed into a prime (217132396280509) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19288649989 + ... + 19288661245.

Almost surely, 2^{217132396280569} is an apocalyptic number.

217132396280569 is the 14735413-rd square number.

217132396280569 is the 7367707-th centered octagonal number.

It is an amenable number.

217132396280569 is a deficient number, since it is larger than the sum of its proper divisors (77817865498100).

217132396280569 is an frugal number, since it uses more digits than its factorization.

217132396280569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22584 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 217132396280569 in words is "two hundred seventeen trillion, one hundred thirty-two billion, three hundred ninety-six million, two hundred eighty thousand, five hundred sixty-nine".