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623353108832057 is a prime number
BaseRepresentation
bin1000110110111011111011010…
…0100111110001111100111001
310000202002222022221012012001002
42031232332310213301330321
51123201004131330111212
610045432244225534345
7245204530066145552
oct21556766447617471
93022088287165032
10623353108832057
1117068a62917659a
1259ab6012aa43b5
13209a8c3b2b9c66
14add0646aab329
154c0eca16dbac2
hex236efb49f1f39

623353108832057 has 2 divisors, whose sum is σ = 623353108832058. Its totient is φ = 623353108832056.

The previous prime is 623353108832053. The next prime is 623353108832059. The reversal of 623353108832057 is 750238801353326.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 432735019616656 + 190618089215401 = 20802284^2 + 13806451^2 .

It is a cyclic number.

It is not a de Polignac number, because 623353108832057 - 22 = 623353108832053 is a prime.

Together with 623353108832059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 623353108831993 and 623353108832011.

It is not a weakly prime, because it can be changed into another prime (623353108832053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 311676554416028 + 311676554416029.

It is an arithmetic number, because the mean of its divisors is an integer number (311676554416029).

Almost surely, 2623353108832057 is an apocalyptic number.

It is an amenable number.

623353108832057 is a deficient number, since it is larger than the sum of its proper divisors (1).

623353108832057 is an equidigital number, since it uses as much as digits as its factorization.

623353108832057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 623353108832057 in words is "six hundred twenty-three trillion, three hundred fifty-three billion, one hundred eight million, eight hundred thirty-two thousand, fifty-seven".