506540665537 has 2 divisors, whose sum is σ = 506540665538. Its totient is φ = 506540665536.

The previous prime is 506540665507. The next prime is 506540665613. The reversal of 506540665537 is 735566045605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339031365696 + 167509299841 = 582264^2 + 409279^2 .

It is a cyclic number.

It is not a de Polignac number, because 506540665537 - 2¹⁵ = 506540632769 is a prime.

It is not a weakly prime, because it can be changed into another prime (506540665507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253270332768 + 253270332769.

It is an arithmetic number, because the mean of its divisors is an integer number (253270332769).

Almost surely, 2^506540665537 is an apocalyptic number.

It is an amenable number.

506540665537 is a deficient number, since it is larger than the sum of its proper divisors (1).

506540665537 is an equidigital number, since it uses as much as digits as its factorization.

506540665537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340000, while the sum is 52.

The spelling of 506540665537 in words is "five hundred six billion, five hundred forty million, six hundred sixty-five thousand, five hundred thirty-seven".