9958532805 has 48 divisors (see below), whose sum is σ = 18608584176. Its totient is φ = 4897566720.

The previous prime is 9958532791. The next prime is 9958532821. The reversal of 9958532805 is 5082358599.

9958532805 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12659364 + 9945873441 = 3558^2 + 99729^2 .

It is not a de Polignac number, because 9958532805 - 2⁴ = 9958532789 is a prime.

It is a super-2 number, since 2×9958532805² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 588949 + ... + 605621.

It is an arithmetic number, because the mean of its divisors is an integer number (387678837).

Almost surely, 2^9958532805 is an apocalyptic number.

It is an amenable number.

9958532805 is a deficient number, since it is larger than the sum of its proper divisors (8650051371).

9958532805 is a wasteful number, since it uses less digits than its factorization.

9958532805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17718 (or 17715 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The square root of 9958532805 is about 99792.4486371589. The cubic root of 9958532805 is about 2151.4526188412.

The spelling of 9958532805 in words is "nine billion, nine hundred fifty-eight million, five hundred thirty-two thousand, eight hundred five".