213305422500 has 135 divisors (see below), whose sum is σ = 673989106791. Its totient is φ = 56862972000.

The previous prime is 213305422487. The next prime is 213305422507. The reversal of 213305422500 is 5224503312.

It is a happy number.

The square root of 213305422500 is 461850.

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

213305422500 is a `hidden beast` number, since 2 + 133 + 0 + 5 + 4 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16723145124 + 196582277376 = 129318^2 + 443376^2 .

It is not an unprimeable number, because it can be changed into a prime (213305422507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69275961 + ... + 69279039.

Almost surely, 2^213305422500 is an apocalyptic number.

213305422500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213305422500 is the 461850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213305422500

213305422500 is an abundant number, since it is smaller than the sum of its proper divisors (460683684291).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213305422500 is an frugal number, since it uses more digits than its factorization.

213305422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 213305422500 its reverse (5224503312), we get a palindrome (218529925812).

The spelling of 213305422500 in words is "two hundred thirteen billion, three hundred five million, four hundred twenty-two thousand, five hundred".