540864101 has 8 divisors (see below), whose sum is σ = 543151224. Its totient is φ = 538582720.

The previous prime is 540864083. The next prime is 540864119. The reversal of 540864101 is 101468045.

540864101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540864083) and next prime (540864119).

It can be written as a sum of positive squares in 4 ways, for example, as 186295201 + 354568900 = 13649^2 + 18830^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540864101 - 2¹⁴ = 540847717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540854101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311231 + ... + 312963.

It is an arithmetic number, because the mean of its divisors is an integer number (67893903).

Almost surely, 2^540864101 is an apocalyptic number.

It is an amenable number.

540864101 is a deficient number, since it is larger than the sum of its proper divisors (2287123).

540864101 is a wasteful number, since it uses less digits than its factorization.

540864101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 540864101 is about 23256.4851385587. The cubic root of 540864101 is about 814.7594110881.

The spelling of 540864101 in words is "five hundred forty million, eight hundred sixty-four thousand, one hundred one".