21300305352 has 64 divisors (see below), whose sum is σ = 55184500800. Its totient is φ = 6843137280.

The previous prime is 21300305347. The next prime is 21300305353. The reversal of 21300305352 is 25350300312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21300305353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370618 + ... + 424214.

It is an arithmetic number, because the mean of its divisors is an integer number (862257825).

Almost surely, 2^21300305352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27592250400).

21300305352 is an abundant number, since it is smaller than the sum of its proper divisors (33884195448).

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

21300305352 is a wasteful number, since it uses less digits than its factorization.

21300305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54206 (or 54202 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 21300305352 its reverse (25350300312), we get a palindrome (46650605664).

The spelling of 21300305352 in words is "twenty-one billion, three hundred million, three hundred five thousand, three hundred fifty-two".