540702009 has 27 divisors (see below), whose sum is σ = 818877423. Its totient is φ = 343772352.

The previous prime is 540701971. The next prime is 540702011. The reversal of 540702009 is 900207045.

The square root of 540702009 is 23253.

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., 145805625 + 394896384 = 12075^2 + 19872^2 .

It is not a de Polignac number, because 540702009 - 2¹¹ = 540699961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540704009) 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, 1604289 + ... + 1604625.

Almost surely, 2^540702009 is an apocalyptic number.

540702009 is the 23253-rd square number.

540702009 is the 11627-th centered octagonal number.

It is an amenable number.

540702009 is a deficient number, since it is larger than the sum of its proper divisors (278175414).

540702009 is an equidigital number, since it uses as much as digits as its factorization.

540702009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 540702009 is about 814.6780109869.

The spelling of 540702009 in words is "five hundred forty million, seven hundred two thousand, nine".