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225057724517 is a prime number
BaseRepresentation
bin1101000110011001111…
…1000101100001100101
3210111220122210222110102
43101212133011201211
512141404234141032
6251220132033445
722155066044303
oct3214637054145
9714818728412
10225057724517
11874a024453a
123774b462885
13182b87b69c2
14ac6ddb3273
155cc324a362
hex34667c5865

225057724517 has 2 divisors, whose sum is σ = 225057724518. Its totient is φ = 225057724516.

The previous prime is 225057724499. The next prime is 225057724547. The reversal of 225057724517 is 715427750522.

225057724517 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., 224094304996 + 963419521 = 473386^2 + 31039^2 .

It is a cyclic number.

It is not a de Polignac number, because 225057724517 - 232 = 220762757221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225057724547) 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, 112528862258 + 112528862259.

It is an arithmetic number, because the mean of its divisors is an integer number (112528862259).

Almost surely, 2225057724517 is an apocalyptic number.

It is an amenable number.

225057724517 is a deficient number, since it is larger than the sum of its proper divisors (1).

225057724517 is an equidigital number, since it uses as much as digits as its factorization.

225057724517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1372000, while the sum is 47.

The spelling of 225057724517 in words is "two hundred twenty-five billion, fifty-seven million, seven hundred twenty-four thousand, five hundred seventeen".