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225513356413 is a prime number
BaseRepresentation
bin1101001000000110100…
…1001011110001111101
3210120002102011110220211
43102001221023301331
512143322404401123
6251333245512421
722202300621212
oct3220151136175
9716072143824
10225513356413
1187704457524
1237857b72711
131835c005c87
14acb46d9b09
155ced24c40d
hex3481a4bc7d

225513356413 has 2 divisors, whose sum is σ = 225513356414. Its totient is φ = 225513356412.

The previous prime is 225513356329. The next prime is 225513356429. The reversal of 225513356413 is 314653315522.

225513356413 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., 151291437444 + 74221918969 = 388962^2 + 272437^2 .

It is a cyclic number.

It is not a de Polignac number, because 225513356413 - 217 = 225513225341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225513356713) 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, 112756678206 + 112756678207.

It is an arithmetic number, because the mean of its divisors is an integer number (112756678207).

Almost surely, 2225513356413 is an apocalyptic number.

It is an amenable number.

225513356413 is a deficient number, since it is larger than the sum of its proper divisors (1).

225513356413 is an equidigital number, since it uses as much as digits as its factorization.

225513356413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324000, while the sum is 40.

The spelling of 225513356413 in words is "two hundred twenty-five billion, five hundred thirteen million, three hundred fifty-six thousand, four hundred thirteen".