217037652129 has 9 divisors (see below), whose sum is σ = 313500849649. Its totient is φ = 144690836340.

The previous prime is 217037652127. The next prime is 217037652149. The reversal of 217037652129 is 921256730712.

It is a happy number.

The square root of 217037652129 is 465873.

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

217037652129 is a `hidden beast` number, since 2 + 1 + 70 + 37 + 6 + 521 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 217037652129 - 2¹ = 217037652127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217037652127) 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, 1319974 + ... + 1475264.

Almost surely, 2^217037652129 is an apocalyptic number.

217037652129 is the 465873-rd square number.

217037652129 is the 232937-th centered octagonal number.

It is an amenable number.

217037652129 is a deficient number, since it is larger than the sum of its proper divisors (96463197520).

217037652129 is an frugal number, since it uses more digits than its factorization.

217037652129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310588 (or 155294 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 217037652129 in words is "two hundred seventeen billion, thirty-seven million, six hundred fifty-two thousand, one hundred twenty-nine".