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9975216253 is a prime number
BaseRepresentation
bin10010100101001000…
…11011100001111101
3221202012010111012211
421102210123201331
5130412123410003
64325455300421
7502123640062
oct112244334175
927665114184
109975216253
114259827682
121b2481a711
13c2c820832
146a8b50c69
153d5b1496d
hex25291b87d

9975216253 has 2 divisors, whose sum is σ = 9975216254. Its totient is φ = 9975216252.

The previous prime is 9975216241. The next prime is 9975216263. The reversal of 9975216253 is 3526125799.

9975216253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9940488804 + 34727449 = 99702^2 + 5893^2 .

It is a cyclic number.

It is not a de Polignac number, because 9975216253 - 217 = 9975085181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9975216197 and 9975216206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9975216263) 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, 4987608126 + 4987608127.

It is an arithmetic number, because the mean of its divisors is an integer number (4987608127).

Almost surely, 29975216253 is an apocalyptic number.

It is an amenable number.

9975216253 is a deficient number, since it is larger than the sum of its proper divisors (1).

9975216253 is an equidigital number, since it uses as much as digits as its factorization.

9975216253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1020600, while the sum is 49.

The square root of 9975216253 is about 99876.0043904441. The cubic root of 9975216253 is about 2152.6533854975.

The spelling of 9975216253 in words is "nine billion, nine hundred seventy-five million, two hundred sixteen thousand, two hundred fifty-three".