2005410509 has 2 divisors, whose sum is σ = 2005410510. Its totient is φ = 2005410508.

The previous prime is 2005410493. The next prime is 2005410527. The reversal of 2005410509 is 9050145002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1297584484 + 707826025 = 36022^2 + 26605^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005410509 - 2⁴ = 2005410493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005410109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002705254 + 1002705255.

It is an arithmetic number, because the mean of its divisors is an integer number (1002705255).

Almost surely, 2^2005410509 is an apocalyptic number.

It is an amenable number.

2005410509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005410509 is an equidigital number, since it uses as much as digits as its factorization.

2005410509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 2005410509 is about 44781.8100237139. The cubic root of 2005410509 is about 1261.0561626164.

The spelling of 2005410509 in words is "two billion, five million, four hundred ten thousand, five hundred nine".