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505223406641 is a prime number
BaseRepresentation
bin1110101101000011010…
…10010110010000110001
31210022001212222021002202
413112201222112100301
531234144143003031
61024032454552545
751333623046212
oct7264152262061
91708055867082
10505223406641
1118529a495198
1281aba368755
133884736a835
141a64ac3b409
15d21e4b92cb
hex75a1a96431

505223406641 has 2 divisors, whose sum is σ = 505223406642. Its totient is φ = 505223406640.

The previous prime is 505223406637. The next prime is 505223406673. The reversal of 505223406641 is 146604322505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435506285041 + 69717121600 = 659929^2 + 264040^2 .

It is a cyclic number.

It is not a de Polignac number, because 505223406641 - 22 = 505223406637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505223406595 and 505223406604.

It is not a weakly prime, because it can be changed into another prime (505223406241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252611703320 + 252611703321.

It is an arithmetic number, because the mean of its divisors is an integer number (252611703321).

Almost surely, 2505223406641 is an apocalyptic number.

It is an amenable number.

505223406641 is a deficient number, since it is larger than the sum of its proper divisors (1).

505223406641 is an equidigital number, since it uses as much as digits as its factorization.

505223406641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 505223406641 in words is "five hundred five billion, two hundred twenty-three million, four hundred six thousand, six hundred forty-one".