9805509390625 has 189 divisors, whose sum is σ = 13899283278303. Its totient is φ = 6914076000000.

The previous prime is 9805509390613. The next prime is 9805509390643. The reversal of 9805509390625 is 5260939055089.

The square root of 9805509390625 is 3131375.

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

It can be written as a sum of positive squares in 31 ways, for example, as 3080449724641 + 6725059665984 = 1755121^2 + 2593272^2 .

It is not a de Polignac number, because 9805509390625 - 2²⁷ = 9805375172897 is a prime.

It is a super-2 number, since 2×9805509390625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 208627859352 + ... + 208627859398.

Almost surely, 2^{9805509390625} is an apocalyptic number.

9805509390625 is the 3131375-th square number.

9805509390625 is the 1565688-th centered octagonal number.

It is an amenable number.

9805509390625 is a deficient number, since it is larger than the sum of its proper divisors (4093773887678).

9805509390625 is an frugal number, since it uses more digits than its factorization.

9805509390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 61.

The spelling of 9805509390625 in words is "nine trillion, eight hundred five billion, five hundred nine million, three hundred ninety thousand, six hundred twenty-five".