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225063588961 is a prime number
BaseRepresentation
bin1101000110011011010…
…1011101010001100001
3210111221001211220222001
43101212311131101201
512141412234321321
6251220501444001
722155166640641
oct3214665352141
9714831756861
10225063588961
11874a358a592
1237751410601
13182b9a8b0a3
14ac70a9c521
155cc3a07c91
hex3466d5d461

225063588961 has 2 divisors, whose sum is σ = 225063588962. Its totient is φ = 225063588960.

The previous prime is 225063588949. The next prime is 225063589057. The reversal of 225063588961 is 169885360522.

225063588961 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 can be written as a sum of positive squares in only one way, i.e., 216429648400 + 8633940561 = 465220^2 + 92919^2 .

It is a cyclic number.

It is not a de Polignac number, because 225063588961 - 25 = 225063588929 is a prime.

It is a super-2 number, since 2×2250635889612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225063588941) 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, 112531794480 + 112531794481.

It is an arithmetic number, because the mean of its divisors is an integer number (112531794481).

Almost surely, 2225063588961 is an apocalyptic number.

It is an amenable number.

225063588961 is a deficient number, since it is larger than the sum of its proper divisors (1).

225063588961 is an equidigital number, since it uses as much as digits as its factorization.

225063588961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 225063588961 in words is "two hundred twenty-five billion, sixty-three million, five hundred eighty-eight thousand, nine hundred sixty-one".