Search a number
-
+
2552421324241 is a prime number
BaseRepresentation
bin100101001001001000001…
…010101001010111010001
3100001000020122000202021001
4211021020022221113101
5313304324324333431
65232322143102001
7352256244166465
oct45111012512721
910030218022231
102552421324241
118a4526329048
123528148a1901
131568ccc958a9
148b775c144a5
15465dad3ee61
hex252482a95d1

2552421324241 has 2 divisors, whose sum is σ = 2552421324242. Its totient is φ = 2552421324240.

The previous prime is 2552421324223. The next prime is 2552421324247. The reversal of 2552421324241 is 1424231242552.

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., 2382095907216 + 170325417025 = 1543404^2 + 412705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552421324241 - 29 = 2552421323729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2552421324241.

It is not a weakly prime, because it can be changed into another prime (2552421324247) 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, 1276210662120 + 1276210662121.

It is an arithmetic number, because the mean of its divisors is an integer number (1276210662121).

Almost surely, 22552421324241 is an apocalyptic number.

It is an amenable number.

2552421324241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552421324241 is an equidigital number, since it uses as much as digits as its factorization.

2552421324241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 153600, while the sum is 37.

Adding to 2552421324241 its reverse (1424231242552), we get a palindrome (3976652566793).

The spelling of 2552421324241 in words is "two trillion, five hundred fifty-two billion, four hundred twenty-one million, three hundred twenty-four thousand, two hundred forty-one".