9805361652 has 72 divisors (see below), whose sum is σ = 25446500352. Its totient is φ = 3182059200.

The previous prime is 9805361647. The next prime is 9805361653. The reversal of 9805361652 is 2561635089.

9805361652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9805361652² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9805361598 and 9805361607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805361653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308002 + ... + 338342.

It is an arithmetic number, because the mean of its divisors is an integer number (353423616).

Almost surely, 2^9805361652 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 9805361652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723250176).

9805361652 is an abundant number, since it is smaller than the sum of its proper divisors (15641138700).

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

9805361652 is a wasteful number, since it uses less digits than its factorization.

9805361652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30589 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9805361652 is about 99022.0260952077. The cubic root of 9805361652 is about 2140.3651553206.

The spelling of 9805361652 in words is "nine billion, eight hundred five million, three hundred sixty-one thousand, six hundred fifty-two".