540510401 has 2 divisors, whose sum is σ = 540510402. Its totient is φ = 540510400.

The previous prime is 540510379. The next prime is 540510403. The reversal of 540510401 is 104015045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 490666801 + 49843600 = 22151^2 + 7060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540510401 is a prime.

Together with 540510403, it forms a pair of twin primes.

It is a Chen prime.

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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270255200 + 270255201.

It is an arithmetic number, because the mean of its divisors is an integer number (270255201).

Almost surely, 2^540510401 is an apocalyptic number.

It is an amenable number.

540510401 is a deficient number, since it is larger than the sum of its proper divisors (1).

540510401 is an equidigital number, since it uses as much as digits as its factorization.

540510401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 540510401 is about 23248.8795644005. The cubic root of 540510401 is about 814.5817674219.

Adding to 540510401 its reverse (104015045), we get a palindrome (644525446).

The spelling of 540510401 in words is "five hundred forty million, five hundred ten thousand, four hundred one".