1005056110609 has 2 divisors, whose sum is σ = 1005056110610. Its totient is φ = 1005056110608.

The previous prime is 1005056110547. The next prime is 1005056110613. The reversal of 1005056110609 is 9060116505001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991906443025 + 13149667584 = 995945^2 + 114672^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005056110609 - 2⁷ = 1005056110481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005056116609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502528055304 + 502528055305.

It is an arithmetic number, because the mean of its divisors is an integer number (502528055305).

Almost surely, 2^{1005056110609} is an apocalyptic number.

It is an amenable number.

1005056110609 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005056110609 is an equidigital number, since it uses as much as digits as its factorization.

1005056110609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 1005056110609 in words is "one trillion, five billion, fifty-six million, one hundred ten thousand, six hundred nine".