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135635025133 is a prime number
BaseRepresentation
bin111111001010001111…
…0100011110011101101
3110222002122020011220101
41332110132203303231
54210240031301013
6142150533151101
712541106456026
oct1762436436355
9428078204811
10135635025133
11525824879a3
1222353a8b491
13ca3747332a
1467c9a2dc4d
1537dc9058dd
hex1f947a3ced

135635025133 has 2 divisors, whose sum is σ = 135635025134. Its totient is φ = 135635025132.

The previous prime is 135635025109. The next prime is 135635025137. The reversal of 135635025133 is 331520536531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133135225129 + 2499800004 = 364877^2 + 49998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135635025133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135635025092 and 135635025101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135635025137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67817512566 + 67817512567.

It is an arithmetic number, because the mean of its divisors is an integer number (67817512567).

Almost surely, 2135635025133 is an apocalyptic number.

It is an amenable number.

135635025133 is a deficient number, since it is larger than the sum of its proper divisors (1).

135635025133 is an equidigital number, since it uses as much as digits as its factorization.

135635025133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 37.

The spelling of 135635025133 in words is "one hundred thirty-five billion, six hundred thirty-five million, twenty-five thousand, one hundred thirty-three".