1540413009 has 12 divisors (see below), whose sum is σ = 2279310852. Its totient is φ = 1001894400.

The previous prime is 1540413001. The next prime is 1540413047. The reversal of 1540413009 is 9003140451.

It can be written as a sum of positive squares in 2 ways, for example, as 447449409 + 1092963600 = 21153^2 + 33060^2 .

It is not a de Polignac number, because 1540413009 - 2³ = 1540413001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1540413001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2086912 + ... + 2087649.

It is an arithmetic number, because the mean of its divisors is an integer number (189942571).

Almost surely, 2^1540413009 is an apocalyptic number.

It is an amenable number.

1540413009 is a deficient number, since it is larger than the sum of its proper divisors (738897843).

1540413009 is a wasteful number, since it uses less digits than its factorization.

1540413009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174608 (or 4174605 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1540413009 is about 39248.0956098509. The cubic root of 1540413009 is about 1154.9035754663.

The spelling of 1540413009 in words is "one billion, five hundred forty million, four hundred thirteen thousand, nine".