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56577568309 is a prime number
BaseRepresentation
bin110100101100010010…
…010010111000110101
312102000222200021001221
4310230102102320311
51411332324141214
641554045350341
74042021252513
oct645422227065
9172028607057
1056577568309
1121aa3620519
12ab6b8683b1
1354486ac192
142a4a1274b3
151712068e24
hexd2c492e35

56577568309 has 2 divisors, whose sum is σ = 56577568310. Its totient is φ = 56577568308.

The previous prime is 56577568297. The next prime is 56577568337. The reversal of 56577568309 is 90386577565.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45273200625 + 11304367684 = 212775^2 + 106322^2 .

It is a cyclic number.

It is not a de Polignac number, because 56577568309 - 25 = 56577568277 is a prime.

It is a super-2 number, since 2×565775683092 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56577568349) 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, 28288784154 + 28288784155.

It is an arithmetic number, because the mean of its divisors is an integer number (28288784155).

Almost surely, 256577568309 is an apocalyptic number.

It is an amenable number.

56577568309 is a deficient number, since it is larger than the sum of its proper divisors (1).

56577568309 is an equidigital number, since it uses as much as digits as its factorization.

56577568309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628000, while the sum is 61.

The spelling of 56577568309 in words is "fifty-six billion, five hundred seventy-seven million, five hundred sixty-eight thousand, three hundred nine".