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564560536549957 is a prime number
BaseRepresentation
bin1000000001011101101111111…
…0001111000011101001000101
32202000221110102111001221111021
42000113123332033003221011
51042444224434324044312
65320415310253511141
7226626103251236323
oct20027337617035105
92660843374057437
10564560536549957
11153982862901a12
125339b7454a24b1
131b302aa3b2701c
149d5ac39156d13
1545407ad979c07
hex20176fe3c3a45

564560536549957 has 2 divisors, whose sum is σ = 564560536549958. Its totient is φ = 564560536549956.

The previous prime is 564560536549909. The next prime is 564560536549967. The reversal of 564560536549957 is 759945635065465.

564560536549957 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., 498882333034276 + 65678203515681 = 22335674^2 + 8104209^2 .

It is a cyclic number.

It is not a de Polignac number, because 564560536549957 - 215 = 564560536517189 is a prime.

It is a super-3 number, since 3×5645605365499573 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564560536549967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282280268274978 + 282280268274979.

It is an arithmetic number, because the mean of its divisors is an integer number (282280268274979).

Almost surely, 2564560536549957 is an apocalyptic number.

It is an amenable number.

564560536549957 is a deficient number, since it is larger than the sum of its proper divisors (1).

564560536549957 is an equidigital number, since it uses as much as digits as its factorization.

564560536549957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18370800000, while the sum is 79.

The spelling of 564560536549957 in words is "five hundred sixty-four trillion, five hundred sixty billion, five hundred thirty-six million, five hundred forty-nine thousand, nine hundred fifty-seven".