540050013 has 24 divisors (see below), whose sum is σ = 788941400. Its totient is φ = 355964544.

The previous prime is 540050011. The next prime is 540050023. The reversal of 540050013 is 310050045.

It can be written as a sum of positive squares in 4 ways, for example, as 153809604 + 386240409 = 12402^2 + 19653^2 .

It is not a de Polignac number, because 540050013 - 2¹ = 540050011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540050011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322743 + ... + 324411.

Almost surely, 2^540050013 is an apocalyptic number.

It is an amenable number.

540050013 is a deficient number, since it is larger than the sum of its proper divisors (248891387).

540050013 is a wasteful number, since it uses less digits than its factorization.

540050013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 540050013 is about 23238.9761607520. The cubic root of 540050013 is about 814.3504242335.

The spelling of 540050013 in words is "five hundred forty million, fifty thousand, thirteen".