505510606441 has 2 divisors, whose sum is σ = 505510606442. Its totient is φ = 505510606440.

The previous prime is 505510606427. The next prime is 505510606453. The reversal of 505510606441 is 144606015505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503952330816 + 1558275625 = 709896^2 + 39475^2 .

It is a cyclic number.

It is not a de Polignac number, because 505510606441 - 2¹⁷ = 505510475369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505510606441.

It is not a weakly prime, because it can be changed into another prime (505510606411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252755303220 + 252755303221.

It is an arithmetic number, because the mean of its divisors is an integer number (252755303221).

Almost surely, 2^505510606441 is an apocalyptic number.

It is an amenable number.

505510606441 is a deficient number, since it is larger than the sum of its proper divisors (1).

505510606441 is an equidigital number, since it uses as much as digits as its factorization.

505510606441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 505510606441 in words is "five hundred five billion, five hundred ten million, six hundred six thousand, four hundred forty-one".