540101091829 has 8 divisors (see below), whose sum is σ = 584661049112. Its totient is φ = 495971665920.

The previous prime is 540101091811. The next prime is 540101091833. The reversal of 540101091829 is 928190101045.

It can be written as a sum of positive squares in 4 ways, for example, as 3798256900 + 536302834929 = 61630^2 + 732327^2 .

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 540101091829 - 2⁵ = 540101091797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540101091791 and 540101091800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101091839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107630232 + ... + 107635249.

It is an arithmetic number, because the mean of its divisors is an integer number (73082631139).

Almost surely, 2^540101091829 is an apocalyptic number.

It is an amenable number.

540101091829 is a deficient number, since it is larger than the sum of its proper divisors (44559957283).

540101091829 is a wasteful number, since it uses less digits than its factorization.

540101091829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215265687.

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 540101091829 in words is "five hundred forty billion, one hundred one million, ninety-one thousand, eight hundred twenty-nine".