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253545342353 is a prime number
BaseRepresentation
bin1110110000100001111…
…0101110010110010001
3220020110000021220112022
43230020132232112101
513123230101423403
6312251020341225
724214042564562
oct3541036562621
9806400256468
10253545342353
1198589810456
124117b9a4815
131aba87428c4
14c3b3614169
1568de1d0d38
hex3b087ae591

253545342353 has 2 divisors, whose sum is σ = 253545342354. Its totient is φ = 253545342352.

The previous prime is 253545342263. The next prime is 253545342359. The reversal of 253545342353 is 353243545352.

It is a happy number.

253545342353 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., 240656962624 + 12888379729 = 490568^2 + 113527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253545342353 is a prime.

It is not a weakly prime, because it can be changed into another prime (253545342359) 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, 126772671176 + 126772671177.

It is an arithmetic number, because the mean of its divisors is an integer number (126772671177).

Almost surely, 2253545342353 is an apocalyptic number.

It is an amenable number.

253545342353 is a deficient number, since it is larger than the sum of its proper divisors (1).

253545342353 is an equidigital number, since it uses as much as digits as its factorization.

253545342353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240000, while the sum is 44.

The spelling of 253545342353 in words is "two hundred fifty-three billion, five hundred forty-five million, three hundred forty-two thousand, three hundred fifty-three".