506071651266341 has 2 divisors, whose sum is σ = 506071651266342. Its totient is φ = 506071651266340.

The previous prime is 506071651266301. The next prime is 506071651266367. The reversal of 506071651266341 is 143662156170605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 505939097748100 + 132553518241 = 22493090^2 + 364079^2 .

It is a cyclic number.

It is not a de Polignac number, because 506071651266341 - 2¹⁰ = 506071651265317 is a prime.

It is a super-2 number, since 2×506071651266341² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506071651266301) 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, 253035825633170 + 253035825633171.

It is an arithmetic number, because the mean of its divisors is an integer number (253035825633171).

Almost surely, 2^{506071651266341} is an apocalyptic number.

It is an amenable number.

506071651266341 is a deficient number, since it is larger than the sum of its proper divisors (1).

506071651266341 is an equidigital number, since it uses as much as digits as its factorization.

506071651266341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 53.

The spelling of 506071651266341 in words is "five hundred six trillion, seventy-one billion, six hundred fifty-one million, two hundred sixty-six thousand, three hundred forty-one".