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5005075753 is a prime number
BaseRepresentation
bin1001010100101001…
…10110010100101001
3110220210221012012001
410222110312110221
540222244411003
62144352051001
7235013304406
oct45224662451
913823835161
105005075753
112139264547
12b78233a61
13619c17cb2
14356a232ad
151e460a61d
hex12a536529

5005075753 has 2 divisors, whose sum is σ = 5005075754. Its totient is φ = 5005075752.

The previous prime is 5005075667. The next prime is 5005075759. The reversal of 5005075753 is 3575705005.

5005075753 is digitally balanced in base 3, 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., 4612718889 + 392356864 = 67917^2 + 19808^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005075753 - 221 = 5002978601 is a prime.

It is not a weakly prime, because it can be changed into another prime (5005075759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502537876 + 2502537877.

It is an arithmetic number, because the mean of its divisors is an integer number (2502537877).

Almost surely, 25005075753 is an apocalyptic number.

It is an amenable number.

5005075753 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005075753 is an equidigital number, since it uses as much as digits as its factorization.

5005075753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91875, while the sum is 37.

The square root of 5005075753 is about 70746.5600082435. The cubic root of 5005075753 is about 1710.5543786917.

The spelling of 5005075753 in words is "five billion, five million, seventy-five thousand, seven hundred fifty-three".