106581775583513 has 2 divisors, whose sum is σ = 106581775583514. Its totient is φ = 106581775583512.

The previous prime is 106581775583483. The next prime is 106581775583531. The reversal of 106581775583513 is 315385577185601.

It is a happy number.

Together with next prime (106581775583531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106483989915664 + 97785667849 = 10319108^2 + 312707^2 .

It is a cyclic number.

It is not a de Polignac number, because 106581775583513 - 2¹⁶ = 106581775517977 is a prime.

It is a super-2 number, since 2×106581775583513² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106581775583513.

It is not a weakly prime, because it can be changed into another prime (106581775543513) 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, 53290887791756 + 53290887791757.

It is an arithmetic number, because the mean of its divisors is an integer number (53290887791757).

Almost surely, 2^{106581775583513} is an apocalyptic number.

It is an amenable number.

106581775583513 is a deficient number, since it is larger than the sum of its proper divisors (1).

106581775583513 is an equidigital number, since it uses as much as digits as its factorization.

106581775583513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840000, while the sum is 65.

The spelling of 106581775583513 in words is "one hundred six trillion, five hundred eighty-one billion, seven hundred seventy-five million, five hundred eighty-three thousand, five hundred thirteen".