Search a number
-
+
135553504441 is a prime number
BaseRepresentation
bin111111000111110011…
…1100101010010111001
3110221212221211111112111
41332033213211102321
54210103144120231
6142134502012321
712536066530255
oct1761747452271
9427787744474
10135553504441
1152540468223
12223307170a1
13ca235cca34
1467bcc8d265
1537d56a14b1
hex1f8f9e54b9

135553504441 has 2 divisors, whose sum is σ = 135553504442. Its totient is φ = 135553504440.

The previous prime is 135553504439. The next prime is 135553504477. The reversal of 135553504441 is 144405355531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132062467216 + 3491037225 = 363404^2 + 59085^2 .

It is a cyclic number.

It is not a de Polignac number, because 135553504441 - 21 = 135553504439 is a prime.

Together with 135553504439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 135553504394 and 135553504403.

It is not a weakly prime, because it can be changed into another prime (135553501441) 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, 67776752220 + 67776752221.

It is an arithmetic number, because the mean of its divisors is an integer number (67776752221).

Almost surely, 2135553504441 is an apocalyptic number.

It is an amenable number.

135553504441 is a deficient number, since it is larger than the sum of its proper divisors (1).

135553504441 is an equidigital number, since it uses as much as digits as its factorization.

135553504441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 135553504441 its reverse (144405355531), we get a palindrome (279958859972).

The spelling of 135553504441 in words is "one hundred thirty-five billion, five hundred fifty-three million, five hundred four thousand, four hundred forty-one".