213225207165 has 160 divisors (see below), whose sum is σ = 410517629280. Its totient is φ = 105871104000.

The previous prime is 213225207161. The next prime is 213225207197. The reversal of 213225207165 is 561702522312.

213225207165 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 520 + 71 + 65 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 332478756 + 212892728409 = 18234^2 + 461403^2 .

It is not a de Polignac number, because 213225207165 - 2² = 213225207161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213225207161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 200965735 + ... + 200966795.

It is an arithmetic number, because the mean of its divisors is an integer number (2565735183).

Almost surely, 2^213225207165 is an apocalyptic number.

It is an amenable number.

213225207165 is a deficient number, since it is larger than the sum of its proper divisors (197292422115).

213225207165 is a wasteful number, since it uses less digits than its factorization.

213225207165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 213225207165 its reverse (561702522312), we get a palindrome (774927729477).

The spelling of 213225207165 in words is "two hundred thirteen billion, two hundred twenty-five million, two hundred seven thousand, one hundred sixty-five".