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135863224561 is a prime number
BaseRepresentation
bin111111010001000010…
…1000100100011110001
3110222200112121220200001
41332202011010203301
54211221441141221
6142225324230001
712546550232341
oct1764205044361
9428615556601
10135863224561
115268a280569
12223b839b301
13ca72821b8c
14680c072d21
153802980391
hex1fa21448f1

135863224561 has 2 divisors, whose sum is σ = 135863224562. Its totient is φ = 135863224560.

The previous prime is 135863224531. The next prime is 135863224577. The reversal of 135863224561 is 165422368531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111385057536 + 24478167025 = 333744^2 + 156455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135863224561 is a prime.

It is a super-2 number, since 2×1358632245612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135863224501) 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, 67931612280 + 67931612281.

It is an arithmetic number, because the mean of its divisors is an integer number (67931612281).

Almost surely, 2135863224561 is an apocalyptic number.

It is an amenable number.

135863224561 is a deficient number, since it is larger than the sum of its proper divisors (1).

135863224561 is an equidigital number, since it uses as much as digits as its factorization.

135863224561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 46.

The spelling of 135863224561 in words is "one hundred thirty-five billion, eight hundred sixty-three million, two hundred twenty-four thousand, five hundred sixty-one".