540513 has 10 divisors (see below), whose sum is σ = 807554. Its totient is φ = 360288.

The previous prime is 540511. The next prime is 540517. The reversal of 540513 is 315045.

540513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 219024 = 567^2 + 468^2 .

It is not a de Polignac number, because 540513 - 2¹ = 540511 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540513.

It is not an unprimeable number, because it can be changed into a prime (540511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3256 + ... + 3417.

2⁵⁴⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

540513 is a deficient number, since it is larger than the sum of its proper divisors (267041).

540513 is an equidigital number, since it uses as much as digits as its factorization.

540513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6676 counting only the distinct ones).

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

The square root of 540513 is about 735.1958922627. The cubic root of 540513 is about 81.4583073036.

Adding to 540513 its reverse (315045), we get a palindrome (855558).

The spelling of 540513 in words is "five hundred forty thousand, five hundred thirteen".