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12853789601 is a prime number
BaseRepresentation
bin10111111100010010…
…10100001110100001
31020011210200011111112
423332021110032201
5202311032231401
65523245153105
7633346260152
oct137611241641
936153604445
1012853789601
1154a66a1414
1225a885b795
13129accb983
1489d189929
155036c03bb
hex2fe2543a1

12853789601 has 2 divisors, whose sum is σ = 12853789602. Its totient is φ = 12853789600.

The previous prime is 12853789523. The next prime is 12853789609. The reversal of 12853789601 is 10698735821.

12853789601 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., 12674256400 + 179533201 = 112580^2 + 13399^2 .

It is a cyclic number.

It is not a de Polignac number, because 12853789601 - 230 = 11780047777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12853789601.

It is not a weakly prime, because it can be changed into another prime (12853789609) 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, 6426894800 + 6426894801.

It is an arithmetic number, because the mean of its divisors is an integer number (6426894801).

Almost surely, 212853789601 is an apocalyptic number.

It is an amenable number.

12853789601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12853789601 is an equidigital number, since it uses as much as digits as its factorization.

12853789601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 12853789601 in words is "twelve billion, eight hundred fifty-three million, seven hundred eighty-nine thousand, six hundred one".