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56577568349 is a prime number
BaseRepresentation
bin110100101100010010…
…010010111001011101
312102000222200021010102
4310230102102321131
51411332324141344
641554045350445
74042021252601
oct645422227135
9172028607112
1056577568349
1121aa3620555
12ab6b868425
1354486ac1c3
142a4a127501
151712068e4e
hexd2c492e5d

56577568349 has 2 divisors, whose sum is σ = 56577568350. Its totient is φ = 56577568348.

The previous prime is 56577568343. The next prime is 56577568351. The reversal of 56577568349 is 94386577565.

56577568349 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., 56433328249 + 144240100 = 237557^2 + 12010^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56577568349 is a prime.

Together with 56577568351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56577568343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28288784174 + 28288784175.

It is an arithmetic number, because the mean of its divisors is an integer number (28288784175).

Almost surely, 256577568349 is an apocalyptic number.

It is an amenable number.

56577568349 is a deficient number, since it is larger than the sum of its proper divisors (1).

56577568349 is an equidigital number, since it uses as much as digits as its factorization.

56577568349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 190512000, while the sum is 65.

The spelling of 56577568349 in words is "fifty-six billion, five hundred seventy-seven million, five hundred sixty-eight thousand, three hundred forty-nine".