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9985560353 is a prime number
BaseRepresentation
bin10010100110010111…
…11000111100100001
3221202220121000122122
421103023320330201
5130422300412403
64330505114025
7502310601566
oct112313707441
927686530578
109985560353
11426465231a
121b28188915
13c31a02bc2
146aa28486d
153d69a9838
hex2532f8f21

9985560353 has 2 divisors, whose sum is σ = 9985560354. Its totient is φ = 9985560352.

The previous prime is 9985560349. The next prime is 9985560379. The reversal of 9985560353 is 3530655899.

9985560353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5284126864 + 4701433489 = 72692^2 + 68567^2 .

It is a cyclic number.

It is not a de Polignac number, because 9985560353 - 22 = 9985560349 is a prime.

It is a super-2 number, since 2×99855603532 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9985560295 and 9985560304.

It is not a weakly prime, because it can be changed into another prime (9985560313) 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 as a sum of consecutive naturals, namely, 4992780176 + 4992780177.

It is an arithmetic number, because the mean of its divisors is an integer number (4992780177).

Almost surely, 29985560353 is an apocalyptic number.

It is an amenable number.

9985560353 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985560353 is an equidigital number, since it uses as much as digits as its factorization.

9985560353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374000, while the sum is 53.

The square root of 9985560353 is about 99927.7756832403. The cubic root of 9985560353 is about 2153.3972146320.

The spelling of 9985560353 in words is "nine billion, nine hundred eighty-five million, five hundred sixty thousand, three hundred fifty-three".