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616212406657 is a prime number
BaseRepresentation
bin10001111011110010001…
…11110010000110000001
32011220112220100122110001
420331321013302012001
540044000334003112
61151030054240001
762343214014511
oct10757107620601
92156486318401
10616212406657
11218374925691
129b514356001
1346154722b43
1421b79507841
151106831dc57
hex8f791f2181

616212406657 has 2 divisors, whose sum is σ = 616212406658. Its totient is φ = 616212406656.

The previous prime is 616212406619. The next prime is 616212406703. The reversal of 616212406657 is 756604212616.

It is an a-pointer prime, because the next prime (616212406703) can be obtained adding 616212406657 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 536755508496 + 79456898161 = 732636^2 + 281881^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-616212406657 is a prime.

It is not a weakly prime, because it can be changed into another prime (616212466657) 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, 308106203328 + 308106203329.

It is an arithmetic number, because the mean of its divisors is an integer number (308106203329).

Almost surely, 2616212406657 is an apocalyptic number.

It is an amenable number.

616212406657 is a deficient number, since it is larger than the sum of its proper divisors (1).

616212406657 is an equidigital number, since it uses as much as digits as its factorization.

616212406657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 616212406657 in words is "six hundred sixteen billion, two hundred twelve million, four hundred six thousand, six hundred fifty-seven".