506011060561 has 2 divisors, whose sum is σ = 506011060562. Its totient is φ = 506011060560.

The previous prime is 506011060549. The next prime is 506011060573. The reversal of 506011060561 is 165060110605.

It is a balanced prime because it is at equal distance from previous prime (506011060549) and next prime (506011060573).

It can be written as a sum of positive squares in only one way, i.e., 295174890000 + 210836170561 = 543300^2 + 459169^2 .

It is a cyclic number.

It is not a de Polignac number, because 506011060561 - 2²⁵ = 505977506129 is a prime.

It is not a weakly prime, because it can be changed into another prime (506011060591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253005530280 + 253005530281.

It is an arithmetic number, because the mean of its divisors is an integer number (253005530281).

Almost surely, 2^506011060561 is an apocalyptic number.

It is an amenable number.

506011060561 is a deficient number, since it is larger than the sum of its proper divisors (1).

506011060561 is an equidigital number, since it uses as much as digits as its factorization.

506011060561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 506011060561 in words is "five hundred six billion, eleven million, sixty thousand, five hundred sixty-one".