540511 has 2 divisors, whose sum is σ = 540512. Its totient is φ = 540510.

The previous prime is 540509. The next prime is 540517. The reversal of 540511 is 115045.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 540511 - 2¹ = 540509 is a prime.

It is a super-2 number, since 2×540511² = 584304282242, which contains 22 as substring.

Together with 540509, 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 (540517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270255 + 270256.

It is an arithmetic number, because the mean of its divisors is an integer number (270256).

2⁵⁴⁰⁵¹¹ is an apocalyptic number.

540511 is a deficient number, since it is larger than the sum of its proper divisors (1).

540511 is an equidigital number, since it uses as much as digits as its factorization.

540511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 540511 is about 735.1945320798. The cubic root of 540511 is about 81.4582068332.

Adding to 540511 its reverse (115045), we get a palindrome (655556).

The spelling of 540511 in words is "five hundred forty thousand, five hundred eleven".