211029065641 has 9 divisors (see below), whose sum is σ = 220614208759. Its totient is φ = 201843782536.

The previous prime is 211029065609. The next prime is 211029065683. The reversal of 211029065641 is 146560920112.

The square root of 211029065641 is 459379.

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

It can be written as a sum of positive squares in only one way, i.e., 79837328025 + 131191737616 = 282555^2 + 362204^2 .

It is not a de Polignac number, because 211029065641 - 2⁵ = 211029065609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211029065641.

It is not an unprimeable number, because it can be changed into a prime (211029066641) 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, 10555731 + ... + 10575703.

Almost surely, 2^211029065641 is an apocalyptic number.

211029065641 is the 459379-th square number.

211029065641 is the 229690-th centered octagonal number.

It is an amenable number.

211029065641 is a deficient number, since it is larger than the sum of its proper divisors (9585143118).

211029065641 is an frugal number, since it uses more digits than its factorization.

211029065641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39992 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 211029065641 its reverse (146560920112), we get a palindrome (357589985753).

The spelling of 211029065641 in words is "two hundred eleven billion, twenty-nine million, sixty-five thousand, six hundred forty-one".