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225201331133297 is a prime number
BaseRepresentation
bin110011001101000111000101…
…010110000101101101110001
31002112101000222222020221201222
4303031013011112011231301
5214004144311232231142
62114544021401034425
765302154631444641
oct6315070526055561
91075330888227658
10225201331133297
1165835391490202
122131163a185a15
139887518671a7c
143d87b34412521
151b0800b8aabd2
hexccd1c5585b71

225201331133297 has 2 divisors, whose sum is σ = 225201331133298. Its totient is φ = 225201331133296.

The previous prime is 225201331133291. The next prime is 225201331133321. The reversal of 225201331133297 is 792331133102522.

225201331133297 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., 224977080583696 + 224250549601 = 14999236^2 + 473551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225201331133297 is a prime.

It is not a weakly prime, because it can be changed into another prime (225201331133291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112600665566648 + 112600665566649.

It is an arithmetic number, because the mean of its divisors is an integer number (112600665566649).

Almost surely, 2225201331133297 is an apocalyptic number.

It is an amenable number.

225201331133297 is a deficient number, since it is larger than the sum of its proper divisors (1).

225201331133297 is an equidigital number, since it uses as much as digits as its factorization.

225201331133297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 225201331133297 in words is "two hundred twenty-five trillion, two hundred one billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred ninety-seven".