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225753157073329 is a prime number
BaseRepresentation
bin110011010101001001000000…
…101110111111100110110001
31002121022210100200010012102221
4303111021000232333212301
5214042214431202321304
62120045322454041041
765360061453523354
oct6325110056774661
91077283320105387
10225753157073329
1165a284158824a6
12213a0583649181
1398c757b932642
143da672267229b
151b17557313054
hexcd5240bbf9b1

225753157073329 has 2 divisors, whose sum is σ = 225753157073330. Its totient is φ = 225753157073328.

The previous prime is 225753157073267. The next prime is 225753157073417. The reversal of 225753157073329 is 923370751357522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199877388840000 + 25875768233329 = 14137800^2 + 5086823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225753157073329 is a prime.

It is not a weakly prime, because it can be changed into another prime (225753157071329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112876578536664 + 112876578536665.

It is an arithmetic number, because the mean of its divisors is an integer number (112876578536665).

Almost surely, 2225753157073329 is an apocalyptic number.

It is an amenable number.

225753157073329 is a deficient number, since it is larger than the sum of its proper divisors (1).

225753157073329 is an equidigital number, since it uses as much as digits as its factorization.

225753157073329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 83349000, while the sum is 61.

The spelling of 225753157073329 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, one hundred fifty-seven million, seventy-three thousand, three hundred twenty-nine".