540113 has 16 divisors (see below), whose sum is σ = 675840. Its totient is φ = 421200.

The previous prime is 540101. The next prime is 540119. The reversal of 540113 is 311045.

540113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 540113 - 2¹⁰ = 539089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4058 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (42240).

2⁵⁴⁰¹¹³ is an apocalyptic number.

It is an amenable number.

540113 is a deficient number, since it is larger than the sum of its proper divisors (135727).

540113 is a wasteful number, since it uses less digits than its factorization.

540113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 540113 is about 734.9238055744. The cubic root of 540113 is about 81.4382082719.

Adding to 540113 its reverse (311045), we get a palindrome (851158).

The spelling of 540113 in words is "five hundred forty thousand, one hundred thirteen".