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10052005253 is a prime number
BaseRepresentation
bin10010101110010010…
…10110110110000101
3221221112121202220212
421113021112312011
5131041303132003
64341241205205
7504045430523
oct112711266605
927845552825
1010052005253
114299105364
121b46490805
13c426c8504
146b501d313
153dc731dd8
hex257256d85

10052005253 has 2 divisors, whose sum is σ = 10052005254. Its totient is φ = 10052005252.

The previous prime is 10052005241. The next prime is 10052005273. The reversal of 10052005253 is 35250025001.

10052005253 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., 8024934724 + 2027070529 = 89582^2 + 45023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10052005253 - 26 = 10052005189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10052005213) 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, 5026002626 + 5026002627.

It is an arithmetic number, because the mean of its divisors is an integer number (5026002627).

Almost surely, 210052005253 is an apocalyptic number.

It is an amenable number.

10052005253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052005253 is an equidigital number, since it uses as much as digits as its factorization.

10052005253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 23.

The spelling of 10052005253 in words is "ten billion, fifty-two million, five thousand, two hundred fifty-three".