213045941761 has 3 divisors (see below), whose sum is σ = 213046403331. Its totient is φ = 213045480192.

The previous prime is 213045941729. The next prime is 213045941809. The reversal of 213045941761 is 167149540312.

It is a happy number.

The square root of 213045941761 is 461569.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 82667175361 + 130378766400 = 287519^2 + 361080^2 .

It is not a de Polignac number, because 213045941761 - 2⁵ = 213045941729 is a prime.

It is a super-2 number, since 2×213045941761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213045941701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 230785 + ... + 692353.

It is an arithmetic number, because the mean of its divisors is an integer number (71015467777).

Almost surely, 2^213045941761 is an apocalyptic number.

213045941761 is the 461569-th square number.

213045941761 is the 230785-th centered octagonal number.

It is an amenable number.

213045941761 is a deficient number, since it is larger than the sum of its proper divisors (461570).

213045941761 is an frugal number, since it uses more digits than its factorization.

213045941761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923138 (or 461569 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 213045941761 in words is "two hundred thirteen billion, forty-five million, nine hundred forty-one thousand, seven hundred sixty-one".