211597240009 has 9 divisors (see below), whose sum is σ = 212482734901. Its totient is φ = 210715425760.

The previous prime is 211597239991. The next prime is 211597240081. The reversal of 211597240009 is 900042795112.

It is a happy number.

The square root of 211597240009 is 459997.

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 36896647225 + 174700592784 = 192085^2 + 417972^2 .

It is not a de Polignac number, because 211597240009 - 2¹¹ = 211597237961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211597246009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129258339 + ... + 129259975.

Almost surely, 2^211597240009 is an apocalyptic number.

211597240009 is the 459997-th square number.

211597240009 is the 229999-th centered octagonal number.

It is an amenable number.

211597240009 is a deficient number, since it is larger than the sum of its proper divisors (885494892).

211597240009 is an frugal number, since it uses more digits than its factorization.

211597240009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 211597240009 in words is "two hundred eleven billion, five hundred ninety-seven million, two hundred forty thousand, nine".