Search a number
-
+
225253481573 is a prime number
BaseRepresentation
bin1101000111001000100…
…1110101110001100101
3210112102022011110122202
43101302021311301211
512142304342402243
6251251403504245
722162664000501
oct3216211656145
9715368143582
10225253481573
118759079972a
12377a4b28085
131831a216993
14ac8bdad301
155cd55174b8
hex3472275c65

225253481573 has 2 divisors, whose sum is σ = 225253481574. Its totient is φ = 225253481572.

The previous prime is 225253481527. The next prime is 225253481599. The reversal of 225253481573 is 375184352522.

225253481573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212648255044 + 12605226529 = 461138^2 + 112273^2 .

It is a cyclic number.

It is not a de Polignac number, because 225253481573 - 220 = 225252432997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225253481503) 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, 112626740786 + 112626740787.

It is an arithmetic number, because the mean of its divisors is an integer number (112626740787).

Almost surely, 2225253481573 is an apocalyptic number.

It is an amenable number.

225253481573 is a deficient number, since it is larger than the sum of its proper divisors (1).

225253481573 is an equidigital number, since it uses as much as digits as its factorization.

225253481573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016000, while the sum is 47.

The spelling of 225253481573 in words is "two hundred twenty-five billion, two hundred fifty-three million, four hundred eighty-one thousand, five hundred seventy-three".