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56306052641 is a prime number
BaseRepresentation
bin110100011100000110…
…100010111000100001
312101100001202211121002
4310130012202320201
51410303322141031
641511110041345
74032213356606
oct643406427041
9171301684532
1056306052641
1121974331803
12aab4949255
135404375517
142a2204a6ad
1516e82d4ccb
hexd1c1a2e21

56306052641 has 2 divisors, whose sum is σ = 56306052642. Its totient is φ = 56306052640.

The previous prime is 56306052629. The next prime is 56306052661. The reversal of 56306052641 is 14625060365.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56206452241 + 99600400 = 237079^2 + 9980^2 .

It is a cyclic number.

It is not a de Polignac number, because 56306052641 - 26 = 56306052577 is a prime.

It is a super-3 number, since 3×563060526413 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 56306052595 and 56306052604.

It is not a weakly prime, because it can be changed into another prime (56306052661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28153026320 + 28153026321.

It is an arithmetic number, because the mean of its divisors is an integer number (28153026321).

Almost surely, 256306052641 is an apocalyptic number.

It is an amenable number.

56306052641 is a deficient number, since it is larger than the sum of its proper divisors (1).

56306052641 is an equidigital number, since it uses as much as digits as its factorization.

56306052641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 56306052641 in words is "fifty-six billion, three hundred six million, fifty-two thousand, six hundred forty-one".