1005814427409 has 27 divisors (see below), whose sum is σ = 1596979219017. Its totient is φ = 609564443400.

The previous prime is 1005814427353. The next prime is 1005814427419. The reversal of 1005814427409 is 9047244185001.

The square root of 1005814427409 is 1002903.

It is a perfect power (a square), and thus also a powerful number.

1005814427409 is a `hidden beast` number, since 1 + 0 + 0 + 581 + 4 + 4 + 27 + 40 + 9 = 666.

It is not a de Polignac number, because 1005814427409 - 2¹³ = 1005814419217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005814427419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33080604 + ... + 33110994.

Almost surely, 2^{1005814427409} is an apocalyptic number.

1005814427409 is the 1002903-rd square number.

1005814427409 is the 501452-nd centered octagonal number.

It is an amenable number.

1005814427409 is a deficient number, since it is larger than the sum of its proper divisors (591164791608).

1005814427409 is an frugal number, since it uses more digits than its factorization.

1005814427409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60810 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1005814427409 in words is "one trillion, five billion, eight hundred fourteen million, four hundred twenty-seven thousand, four hundred nine".