540541144901 has 2 divisors, whose sum is σ = 540541144902. Its totient is φ = 540541144900.

The previous prime is 540541144889. The next prime is 540541144903. The reversal of 540541144901 is 109441145045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 539945736100 + 595408801 = 734810^2 + 24401^2 .

It is a cyclic number.

It is not a de Polignac number, because 540541144901 - 2⁶ = 540541144837 is a prime.

It is a Sophie Germain prime.

Together with 540541144903, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540541144903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270270572450 + 270270572451.

It is an arithmetic number, because the mean of its divisors is an integer number (270270572451).

Almost surely, 2^540541144901 is an apocalyptic number.

It is an amenable number.

540541144901 is a deficient number, since it is larger than the sum of its proper divisors (1).

540541144901 is an equidigital number, since it uses as much as digits as its factorization.

540541144901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 540541144901 its reverse (109441145045), we get a palindrome (649982289946).

The spelling of 540541144901 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty-four thousand, nine hundred one".