217134293587201 has 16 divisors (see below), whose sum is σ = 220640089435920. Its totient is φ = 213657251512320.

The previous prime is 217134293587139. The next prime is 217134293587243. The reversal of 217134293587201 is 102785392431712.

It can be written as a sum of positive squares in 8 ways, for example, as 53915169863025 + 163219123724176 = 7342695^2 + 12775724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217134293587201 is a prime.

It is a super-2 number, since 2×217134293587201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217134293587801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6896565 + ... + 21950653.

It is an arithmetic number, because the mean of its divisors is an integer number (13790005589745).

Almost surely, 2^{217134293587201} is an apocalyptic number.

It is an amenable number.

217134293587201 is a deficient number, since it is larger than the sum of its proper divisors (3505795848719).

217134293587201 is a wasteful number, since it uses less digits than its factorization.

217134293587201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055044.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 217134293587201 in words is "two hundred seventeen trillion, one hundred thirty-four billion, two hundred ninety-three million, five hundred eighty-seven thousand, two hundred one".