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564342465501901 is a prime number
BaseRepresentation
bin1000000001010001000011100…
…0001100000001101011001101
32202000011121112201220220100201
42000110100320030001223031
51042432141332132030101
65320131203302253501
7226604253250020112
oct20024207014015315
92660147481826321
10564342465501901
111538a9328441959
1253365425a27291
131b2b835c95ca08
149d5046d032909
154539c98cb5e01
hex2014438301acd

564342465501901 has 2 divisors, whose sum is σ = 564342465501902. Its totient is φ = 564342465501900.

The previous prime is 564342465501827. The next prime is 564342465501907. The reversal of 564342465501901 is 109105564243465.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 315471805848676 + 248870659653225 = 17761526^2 + 15775635^2 .

It is a cyclic number.

It is not a de Polignac number, because 564342465501901 - 211 = 564342465499853 is a prime.

It is a super-2 number, since 2×5643424655019012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564342465501907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282171232750950 + 282171232750951.

It is an arithmetic number, because the mean of its divisors is an integer number (282171232750951).

Almost surely, 2564342465501901 is an apocalyptic number.

It is an amenable number.

564342465501901 is a deficient number, since it is larger than the sum of its proper divisors (1).

564342465501901 is an equidigital number, since it uses as much as digits as its factorization.

564342465501901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552000, while the sum is 55.

The spelling of 564342465501901 in words is "five hundred sixty-four trillion, three hundred forty-two billion, four hundred sixty-five million, five hundred one thousand, nine hundred one".