1005006106061 has 4 divisors (see below), whose sum is σ = 1005065629500. Its totient is φ = 1004946582624.

The previous prime is 1005006106051. The next prime is 1005006106121. The reversal of 1005006106061 is 1606016005001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 105628900036 + 899377206025 = 325006^2 + 948355^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005006106061 - 2⁶ = 1005006105997 is a prime.

It is a Duffinian number.

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 1005006106061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005006106031) 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 in 3 ways as a sum of consecutive naturals, for example, 29736386 + ... + 29770163.

It is an arithmetic number, because the mean of its divisors is an integer number (251266407375).

Almost surely, 2^{1005006106061} is an apocalyptic number.

It is an amenable number.

1005006106061 is a deficient number, since it is larger than the sum of its proper divisors (59523439).

1005006106061 is an equidigital number, since it uses as much as digits as its factorization.

1005006106061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59523438.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1005006106061 in words is "one trillion, five billion, six million, one hundred six thousand, sixty-one".