540529332849 has 27 divisors (see below), whose sum is σ = 858234313209. Its totient is φ = 327578830920.

The previous prime is 540529332839. The next prime is 540529332881. The reversal of 540529332849 is 948233925045.

The square root of 540529332849 is 735207.

It is a perfect power (a square), and thus also a powerful number.

540529332849 is a `hidden beast` number, since 5 + 4 + 0 + 529 + 3 + 32 + 84 + 9 = 666.

It is not a de Polignac number, because 540529332849 - 2¹⁷ = 540529201777 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 540529332795 and 540529332804.

It is not an unprimeable number, because it can be changed into a prime (540529332829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24250692 + ... + 24272970.

Almost surely, 2^540529332849 is an apocalyptic number.

540529332849 is the 735207-th square number.

540529332849 is the 367604-th centered octagonal number.

It is an amenable number.

540529332849 is a deficient number, since it is larger than the sum of its proper divisors (317704980360).

540529332849 is an frugal number, since it uses more digits than its factorization.

540529332849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44586 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 540529 and 332849, that added together give a palindrome (873378).

The spelling of 540529332849 in words is "five hundred forty billion, five hundred twenty-nine million, three hundred thirty-two thousand, eight hundred forty-nine".