9905243825 has 48 divisors (see below), whose sum is σ = 13025702016. Its totient is φ = 7457049600.

The previous prime is 9905243813. The next prime is 9905243839. The reversal of 9905243825 is 5283425099.

It is not a de Polignac number, because 9905243825 - 2⁴ = 9905243809 is a prime.

It is a super-2 number, since 2×9905243825² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9905243825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10200590 + ... + 10201560.

It is an arithmetic number, because the mean of its divisors is an integer number (271368792).

Almost surely, 2^9905243825 is an apocalyptic number.

It is an amenable number.

9905243825 is a deficient number, since it is larger than the sum of its proper divisors (3120458191).

9905243825 is a wasteful number, since it uses less digits than its factorization.

9905243825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 9905243825 is about 99525.0914342710. The cubic root of 9905243825 is about 2147.6082163783.

The spelling of 9905243825 in words is "nine billion, nine hundred five million, two hundred forty-three thousand, eight hundred twenty-five".