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413681812561 is a prime number
BaseRepresentation
bin1100000010100010101…
…10111000010001010001
31110112210012022110110101
412001101112320101101
523234210021000221
6514013124532401
741613264250243
oct6012126702121
91415705273411
10413681812561
1114a494664706
1268211251101
1330019052014
14160452d0093
15ab62b28d91
hex60515b8451

413681812561 has 2 divisors, whose sum is σ = 413681812562. Its totient is φ = 413681812560.

The previous prime is 413681812553. The next prime is 413681812619. The reversal of 413681812561 is 165218186314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 411722422336 + 1959390225 = 641656^2 + 44265^2 .

It is a cyclic number.

It is not a de Polignac number, because 413681812561 - 23 = 413681812553 is a prime.

It is a super-2 number, since 2×4136818125612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413681812541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206840906280 + 206840906281.

It is an arithmetic number, because the mean of its divisors is an integer number (206840906281).

Almost surely, 2413681812561 is an apocalyptic number.

It is an amenable number.

413681812561 is a deficient number, since it is larger than the sum of its proper divisors (1).

413681812561 is an equidigital number, since it uses as much as digits as its factorization.

413681812561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 276480, while the sum is 46.

Adding to 413681812561 its reverse (165218186314), we get a palindrome (578899998875).

The spelling of 413681812561 in words is "four hundred thirteen billion, six hundred eighty-one million, eight hundred twelve thousand, five hundred sixty-one".