217532070729 has 12 divisors (see below), whose sum is σ = 320141538756. Its totient is φ = 142285127712.

The previous prime is 217532070709. The next prime is 217532070731. The reversal of 217532070729 is 927070235712.

217532070729 is a `hidden beast` number, since 21 + 7 + 532 + 0 + 70 + 7 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83707798329 + 133824272400 = 289323^2 + 365820^2 .

It is not a de Polignac number, because 217532070729 - 2¹⁷ = 217531939657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217532070709) 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 11 ways as a sum of consecutive naturals, for example, 228020562 + ... + 228021515.

It is an arithmetic number, because the mean of its divisors is an integer number (26678461563).

Almost surely, 2^217532070729 is an apocalyptic number.

It is an amenable number.

217532070729 is a deficient number, since it is larger than the sum of its proper divisors (102609468027).

217532070729 is a wasteful number, since it uses less digits than its factorization.

217532070729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456042136 (or 456042133 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 217532070729 in words is "two hundred seventeen billion, five hundred thirty-two million, seventy thousand, seven hundred twenty-nine".