540800033 has 16 divisors (see below), whose sum is σ = 567665280. Its totient is φ = 514542336.

The previous prime is 540800017. The next prime is 540800063. The reversal of 540800033 is 330008045.

It is not a de Polignac number, because 540800033 - 2⁴ = 540800017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540799981 and 540800008.

It is not an unprimeable number, because it can be changed into a prime (540800063) 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 in 15 ways as a sum of consecutive naturals, for example, 743516 + ... + 744242.

It is an arithmetic number, because the mean of its divisors is an integer number (35479080).

Almost surely, 2^540800033 is an apocalyptic number.

It is an amenable number.

540800033 is a deficient number, since it is larger than the sum of its proper divisors (26865247).

540800033 is a wasteful number, since it uses less digits than its factorization.

540800033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 540800033 is about 23255.1076755194. The cubic root of 540800033 is about 814.7272390710.

Adding to 540800033 its reverse (330008045), we get a palindrome (870808078).

The spelling of 540800033 in words is "five hundred forty million, eight hundred thousand, thirty-three".