540613 has 2 divisors, whose sum is σ = 540614. Its totient is φ = 540612.

The previous prime is 540611. The next prime is 540619. The reversal of 540613 is 316045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 471969 + 68644 = 687^2 + 262^2 .

It is a cyclic number.

It is not a de Polignac number, because 540613 - 2¹ = 540611 is a prime.

Together with 540611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270306 + 270307.

It is an arithmetic number, because the mean of its divisors is an integer number (270307).

2⁵⁴⁰⁶¹³ is an apocalyptic number.

It is an amenable number.

540613 is a deficient number, since it is larger than the sum of its proper divisors (1).

540613 is an equidigital number, since it uses as much as digits as its factorization.

540613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 540613 is about 735.2638982025. The cubic root of 540613 is about 81.4633305121.

Adding to 540613 its reverse (316045), we get a palindrome (856658).

The spelling of 540613 in words is "five hundred forty thousand, six hundred thirteen".