540713150224 has 135 divisors (see below), whose sum is σ = 1155413902293. Its totient is φ = 245024387712.

The previous prime is 540713150209. The next prime is 540713150287. The reversal of 540713150224 is 422051317045.

The square root of 540713150224 is 735332.

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

It can be written as a sum of positive squares in only one way, i.e., 79987152400 + 460725997824 = 282820^2 + 678768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540713150224.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3020743767 + ... + 3020743945.

Almost surely, 2^540713150224 is an apocalyptic number.

540713150224 is the 735332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540713150224

540713150224 is an abundant number, since it is smaller than the sum of its proper divisors (614700752069).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540713150224 is an equidigital number, since it uses as much as digits as its factorization.

540713150224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 540713150224 its reverse (422051317045), we get a palindrome (962764467269).

The spelling of 540713150224 in words is "five hundred forty billion, seven hundred thirteen million, one hundred fifty thousand, two hundred twenty-four".