1005901365409 has 2 divisors, whose sum is σ = 1005901365410. Its totient is φ = 1005901365408.

The previous prime is 1005901365383. The next prime is 1005901365419. The reversal of 1005901365409 is 9045631095001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913821283600 + 92080081809 = 955940^2 + 303447^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005901365409 - 2⁵ = 1005901365377 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005901365419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502950682704 + 502950682705.

It is an arithmetic number, because the mean of its divisors is an integer number (502950682705).

Almost surely, 2^{1005901365409} is an apocalyptic number.

It is an amenable number.

1005901365409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005901365409 is an equidigital number, since it uses as much as digits as its factorization.

1005901365409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 1005901365409 in words is "one trillion, five billion, nine hundred one million, three hundred sixty-five thousand, four hundred nine".