213201153 has 42 divisors (see below), whose sum is σ = 351502242. Its totient is φ = 129159360.

The previous prime is 213201151. The next prime is 213201179. The reversal of 213201153 is 351102312.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 1411344 = 14553^2 + 1188^2 .

It is not a de Polignac number, because 213201153 - 2¹ = 213201151 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 87001 + ... + 89417.

It is an arithmetic number, because the mean of its divisors is an integer number (8369101).

Almost surely, 2^213201153 is an apocalyptic number.

It is an amenable number.

213201153 is a deficient number, since it is larger than the sum of its proper divisors (138301089).

213201153 is an equidigital number, since it uses as much as digits as its factorization.

213201153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213201153 is about 14601.4092812988. The cubic root of 213201153 is about 597.3972003836.

Adding to 213201153 its reverse (351102312), we get a palindrome (564303465).

The spelling of 213201153 in words is "two hundred thirteen million, two hundred one thousand, one hundred fifty-three".