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253938288353 is a prime number
BaseRepresentation
bin1110110001111111100…
…1101100011011100001
3220021110101200122002212
43230133321230123201
513130031200211403
6312354014451505
724226553560001
oct3543771543341
9807411618085
10253938288353
11987705a8612
124126b503b95
131ac3bc84529
14c40d8a0001
15691394e4d8
hex3b1fe6c6e1

253938288353 has 2 divisors, whose sum is σ = 253938288354. Its totient is φ = 253938288352.

The previous prime is 253938288343. The next prime is 253938288391. The reversal of 253938288353 is 353882839352.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233991810529 + 19946477824 = 483727^2 + 141232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253938288353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253938288292 and 253938288301.

It is not a weakly prime, because it can be changed into another prime (253938288313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126969144176 + 126969144177.

It is an arithmetic number, because the mean of its divisors is an integer number (126969144177).

Almost surely, 2253938288353 is an apocalyptic number.

It is an amenable number.

253938288353 is a deficient number, since it is larger than the sum of its proper divisors (1).

253938288353 is an equidigital number, since it uses as much as digits as its factorization.

253938288353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37324800, while the sum is 59.

The spelling of 253938288353 in words is "two hundred fifty-three billion, nine hundred thirty-eight million, two hundred eighty-eight thousand, three hundred fifty-three".