505106561 has 2 divisors, whose sum is σ = 505106562. Its totient is φ = 505106560.

The previous prime is 505106557. The next prime is 505106579. The reversal of 505106561 is 165601505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504676225 + 430336 = 22465^2 + 656^2 .

It is a cyclic number.

It is not a de Polignac number, because 505106561 - 2² = 505106557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (505106521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252553280 + 252553281.

It is an arithmetic number, because the mean of its divisors is an integer number (252553281).

Almost surely, 2^505106561 is an apocalyptic number.

It is an amenable number.

505106561 is a deficient number, since it is larger than the sum of its proper divisors (1).

505106561 is an equidigital number, since it uses as much as digits as its factorization.

505106561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 505106561 is about 22474.5758803142. The cubic root of 505106561 is about 796.3934324590.

The spelling of 505106561 in words is "five hundred five million, one hundred six thousand, five hundred sixty-one".