Search a number
-
+
252641565251 is a prime number
BaseRepresentation
bin1110101101001010011…
…1000101101001000011
3220011010000200021102022
43223102213011221003
513114402220042001
6312021213312055
724152456605115
oct3532247055103
9804100607368
10252641565251
1198165639329
1240b6919562b
131aa93425c5a
14c3295933b5
156889baa11b
hex3ad29c5a43

252641565251 has 2 divisors, whose sum is σ = 252641565252. Its totient is φ = 252641565250.

The previous prime is 252641565229. The next prime is 252641565283. The reversal of 252641565251 is 152565146252.

252641565251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 252641565251 - 214 = 252641548867 is a prime.

It is not a weakly prime, because it can be changed into another prime (252641555251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126320782625 + 126320782626.

It is an arithmetic number, because the mean of its divisors is an integer number (126320782626).

Almost surely, 2252641565251 is an apocalyptic number.

252641565251 is a deficient number, since it is larger than the sum of its proper divisors (1).

252641565251 is an equidigital number, since it uses as much as digits as its factorization.

252641565251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720000, while the sum is 44.

The spelling of 252641565251 in words is "two hundred fifty-two billion, six hundred forty-one million, five hundred sixty-five thousand, two hundred fifty-one".