1006144048961 has 2 divisors, whose sum is σ = 1006144048962. Its totient is φ = 1006144048960.

The previous prime is 1006144048939. The next prime is 1006144049023. The reversal of 1006144048961 is 1698404416001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 632890255936 + 373253793025 = 795544^2 + 610945^2 .

It is an emirp because it is prime and its reverse (1698404416001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006144048961 - 2²⁶ = 1006076940097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1006144048661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503072024480 + 503072024481.

It is an arithmetic number, because the mean of its divisors is an integer number (503072024481).

Almost surely, 2^{1006144048961} is an apocalyptic number.

It is an amenable number.

1006144048961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006144048961 is an equidigital number, since it uses as much as digits as its factorization.

1006144048961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 1006144048961 in words is "one trillion, six billion, one hundred forty-four million, forty-eight thousand, nine hundred sixty-one".