540440101 has 2 divisors, whose sum is σ = 540440102. Its totient is φ = 540440100.

The previous prime is 540440071. The next prime is 540440113. The reversal of 540440101 is 101044045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365803876 + 174636225 = 19126^2 + 13215^2 .

It is a cyclic number.

It is not a de Polignac number, because 540440101 - 2⁷ = 540439973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540440401) 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, 270220050 + 270220051.

It is an arithmetic number, because the mean of its divisors is an integer number (270220051).

Almost surely, 2^540440101 is an apocalyptic number.

It is an amenable number.

540440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

540440101 is an equidigital number, since it uses as much as digits as its factorization.

540440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 540440101 is about 23247.3676144203. The cubic root of 540440101 is about 814.5464504444.

Adding to 540440101 its reverse (101044045), we get a palindrome (641484146).

The spelling of 540440101 in words is "five hundred forty million, four hundred forty thousand, one hundred one".