540504336100 has 81 divisors (see below), whose sum is σ = 1206057985083. Its totient is φ = 210252576960.

The previous prime is 540504336011. The next prime is 540504336109. The reversal of 540504336100 is 1633405045.

The square root of 540504336100 is 735190.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51310404324 + 489193931776 = 226518^2 + 699424^2 .

It is not an unprimeable number, because it can be changed into a prime (540504336109) 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, 272019307 + ... + 272021293.

Almost surely, 2^540504336100 is an apocalyptic number.

540504336100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540504336100 is the 735190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540504336100

540504336100 is an abundant number, since it is smaller than the sum of its proper divisors (665553648983).

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

540504336100 is an equidigital number, since it uses as much as digits as its factorization.

540504336100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 540504336100 in words is "five hundred forty billion, five hundred four million, three hundred thirty-six thousand, one hundred".