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314527509997 is a prime number
BaseRepresentation
bin1001001001110110100…
…11001110110111101101
31010001211221222222222221
410210323103032313231
520123123020304442
6400254132035341
731503166503031
oct4447323166755
91101757888887
10314527509997
11111432641608
1250b5a762b51
132387680537c
141131a6d21c1
1582acc91467
hex493b4ceded

314527509997 has 2 divisors, whose sum is σ = 314527509998. Its totient is φ = 314527509996.

The previous prime is 314527509977. The next prime is 314527510001. The reversal of 314527509997 is 799905725413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227671168201 + 86856341796 = 477149^2 + 294714^2 .

It is an emirp because it is prime and its reverse (799905725413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314527509997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314527509977) 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, 157263754998 + 157263754999.

It is an arithmetic number, because the mean of its divisors is an integer number (157263754999).

Almost surely, 2314527509997 is an apocalyptic number.

It is an amenable number.

314527509997 is a deficient number, since it is larger than the sum of its proper divisors (1).

314527509997 is an equidigital number, since it uses as much as digits as its factorization.

314527509997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21432600, while the sum is 61.

The spelling of 314527509997 in words is "three hundred fourteen billion, five hundred twenty-seven million, five hundred nine thousand, nine hundred ninety-seven".