506065191629 has 2 divisors, whose sum is σ = 506065191630. Its totient is φ = 506065191628.

The previous prime is 506065191617. The next prime is 506065191689. The reversal of 506065191629 is 926191560605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271347228100 + 234717963529 = 520910^2 + 484477^2 .

It is a cyclic number.

It is not a de Polignac number, because 506065191629 - 2⁴ = 506065191613 is a prime.

It is a super-2 number, since 2×506065191629² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506065191689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253032595814 + 253032595815.

It is an arithmetic number, because the mean of its divisors is an integer number (253032595815).

Almost surely, 2^506065191629 is an apocalyptic number.

It is an amenable number.

506065191629 is a deficient number, since it is larger than the sum of its proper divisors (1).

506065191629 is an equidigital number, since it uses as much as digits as its factorization.

506065191629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 50.

The spelling of 506065191629 in words is "five hundred six billion, sixty-five million, one hundred ninety-one thousand, six hundred twenty-nine".