Search a number
-
+
225404315144053 is a prime number
BaseRepresentation
bin110011010000000100001000…
…001000101000111101110101
31002120002102221021111002110021
4303100010020020220331311
5214021011014134102203
62115221151324525141
765322632025201523
oct6320041010507565
91076072837432407
10225404315144053
11659034846908a1
1221344a490b07b1
1398a06c6c67786
143d938ac937313
151b0d43bcb65bd
hexcd0108228f75

225404315144053 has 2 divisors, whose sum is σ = 225404315144054. Its totient is φ = 225404315144052.

The previous prime is 225404315143979. The next prime is 225404315144083. The reversal of 225404315144053 is 350441513404522.

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., 204781881280804 + 20622433863249 = 14310202^2 + 4541193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225404315144053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225404315144083) 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, 112702157572026 + 112702157572027.

It is an arithmetic number, because the mean of its divisors is an integer number (112702157572027).

Almost surely, 2225404315144053 is an apocalyptic number.

It is an amenable number.

225404315144053 is a deficient number, since it is larger than the sum of its proper divisors (1).

225404315144053 is an equidigital number, since it uses as much as digits as its factorization.

225404315144053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152000, while the sum is 43.

Adding to 225404315144053 its reverse (350441513404522), we get a palindrome (575845828548575).

The spelling of 225404315144053 in words is "two hundred twenty-five trillion, four hundred four billion, three hundred fifteen million, one hundred forty-four thousand, fifty-three".