540510413 has 2 divisors, whose sum is σ = 540510414. Its totient is φ = 540510412.

The previous prime is 540510403. The next prime is 540510431. The reversal of 540510413 is 314015045.

Together with next prime (540510431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365689129 + 174821284 = 19123^2 + 13222^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540510413 is a prime.

It is a super-2 number, since 2×540510413² = 584303013122861138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540510403) 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, 270255206 + 270255207.

It is an arithmetic number, because the mean of its divisors is an integer number (270255207).

Almost surely, 2^540510413 is an apocalyptic number.

It is an amenable number.

540510413 is a deficient number, since it is larger than the sum of its proper divisors (1).

540510413 is an equidigital number, since it uses as much as digits as its factorization.

540510413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 540510413 is about 23248.8798224775. The cubic root of 540510413 is about 814.5817734501.

Adding to 540510413 its reverse (314015045), we get a palindrome (854525458).

The spelling of 540510413 in words is "five hundred forty million, five hundred ten thousand, four hundred thirteen".