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35072006509 is a prime number
BaseRepresentation
bin100000101010011101…
…000101100101101101
310100112020011112022001
4200222131011211231
51033311413202014
624040054452301
72351055064561
oct405235054555
9110466145261
1035072006509
1113968262651
126969664091
1333cc115897
1419a9cd16a1
15da4055974
hex82a74596d

35072006509 has 2 divisors, whose sum is σ = 35072006510. Its totient is φ = 35072006508.

The previous prime is 35072006447. The next prime is 35072006549. The reversal of 35072006509 is 90560027053.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33864096484 + 1207910025 = 184022^2 + 34755^2 .

It is an emirp because it is prime and its reverse (90560027053) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35072006509 - 27 = 35072006381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35072006549) 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, 17536003254 + 17536003255.

It is an arithmetic number, because the mean of its divisors is an integer number (17536003255).

Almost surely, 235072006509 is an apocalyptic number.

It is an amenable number.

35072006509 is a deficient number, since it is larger than the sum of its proper divisors (1).

35072006509 is an equidigital number, since it uses as much as digits as its factorization.

35072006509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 35072006509 in words is "thirty-five billion, seventy-two million, six thousand, five hundred nine".