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253711818313 is a prime number
BaseRepresentation
bin1110110001001001100…
…1110001111001001001
3220020212121112202121121
43230102121301321021
513124100211141223
6312315324435241
724221133605332
oct3542231617111
9806777482547
10253711818313
1198664786298
12412076a8b21
131ac0408cba5
14c3cb78b289
1568edb1715d
hex3b12671e49

253711818313 has 2 divisors, whose sum is σ = 253711818314. Its totient is φ = 253711818312.

The previous prime is 253711818233. The next prime is 253711818337. The reversal of 253711818313 is 313818117352.

253711818313 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., 169882460224 + 83829358089 = 412168^2 + 289533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253711818313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253711818313.

It is not a weakly prime, because it can be changed into another prime (253721818313) 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, 126855909156 + 126855909157.

It is an arithmetic number, because the mean of its divisors is an integer number (126855909157).

Almost surely, 2253711818313 is an apocalyptic number.

It is an amenable number.

253711818313 is a deficient number, since it is larger than the sum of its proper divisors (1).

253711818313 is an equidigital number, since it uses as much as digits as its factorization.

253711818313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 43.

The spelling of 253711818313 in words is "two hundred fifty-three billion, seven hundred eleven million, eight hundred eighteen thousand, three hundred thirteen".