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225006651257 is a prime number
BaseRepresentation
bin1101000110001101110…
…0010000011101111001
3210111210002201012010012
43101203130100131321
512141303200320012
6251211105231305
722153605656543
oct3214334203571
9714702635105
10225006651257
1187474430433
1237736332535
13182ab043c3b
14ac672ba693
155cbda0c622
hex3463710779

225006651257 has 2 divisors, whose sum is σ = 225006651258. Its totient is φ = 225006651256.

The previous prime is 225006651253. The next prime is 225006651313. The reversal of 225006651257 is 752156600522.

225006651257 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., 186080939641 + 38925711616 = 431371^2 + 197296^2 .

It is a cyclic number.

It is not a de Polignac number, because 225006651257 - 22 = 225006651253 is a prime.

It is not a weakly prime, because it can be changed into another prime (225006651253) 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, 112503325628 + 112503325629.

It is an arithmetic number, because the mean of its divisors is an integer number (112503325629).

Almost surely, 2225006651257 is an apocalyptic number.

It is an amenable number.

225006651257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225006651257 is an equidigital number, since it uses as much as digits as its factorization.

225006651257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 225006651257 in words is "two hundred twenty-five billion, six million, six hundred fifty-one thousand, two hundred fifty-seven".