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611682313082353 is a prime number
BaseRepresentation
bin1000101100010100100110001…
…0111111001001010111110001
32222012210020222002222201222121
42023011021202333021113301
51120133300334122113403
610004534550401234241
7242561405641112452
oct21305114277112761
92865706862881877
10611682313082353
111679a0015234537
1258730169032981
1320340518c98966
14ab09820ad9129
154aab3d9cbb3bd
hex22c5262fc95f1

611682313082353 has 2 divisors, whose sum is σ = 611682313082354. Its totient is φ = 611682313082352.

The previous prime is 611682313082333. The next prime is 611682313082371. The reversal of 611682313082353 is 353280313286116.

611682313082353 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., 313844715529569 + 297837597552784 = 17715663^2 + 17257972^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-611682313082353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 611682313082353.

It is not a weakly prime, because it can be changed into another prime (611682313082303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305841156541176 + 305841156541177.

It is an arithmetic number, because the mean of its divisors is an integer number (305841156541177).

Almost surely, 2611682313082353 is an apocalyptic number.

It is an amenable number.

611682313082353 is a deficient number, since it is larger than the sum of its proper divisors (1).

611682313082353 is an equidigital number, since it uses as much as digits as its factorization.

611682313082353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 611682313082353 in words is "six hundred eleven trillion, six hundred eighty-two billion, three hundred thirteen million, eighty-two thousand, three hundred fifty-three".