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225367495757 is a prime number
BaseRepresentation
bin1101000111100011110…
…0110001010001001101
3210112201020200222201022
43101320330301101031
512143023034331012
6251310555323525
722165550051405
oct3217074612115
9715636628638
10225367495757
118763a092228
12378171505a5
1318337a261b1
14ac9d1ab805
155ce0539472
hex3478f3144d

225367495757 has 2 divisors, whose sum is σ = 225367495758. Its totient is φ = 225367495756.

The previous prime is 225367495709. The next prime is 225367495777. The reversal of 225367495757 is 757594763522.

225367495757 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., 208014439396 + 17353056361 = 456086^2 + 131731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225367495757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225367495757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225367495777) 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, 112683747878 + 112683747879.

It is an arithmetic number, because the mean of its divisors is an integer number (112683747879).

Almost surely, 2225367495757 is an apocalyptic number.

It is an amenable number.

225367495757 is a deficient number, since it is larger than the sum of its proper divisors (1).

225367495757 is an equidigital number, since it uses as much as digits as its factorization.

225367495757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111132000, while the sum is 62.

The spelling of 225367495757 in words is "two hundred twenty-five billion, three hundred sixty-seven million, four hundred ninety-five thousand, seven hundred fifty-seven".