540681329 has 2 divisors, whose sum is σ = 540681330. Its totient is φ = 540681328.

The previous prime is 540681301. The next prime is 540681341. The reversal of 540681329 is 923186045.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 486290704 + 54390625 = 22052^2 + 7375^2 .

It is a cyclic number.

It is not a de Polignac number, because 540681329 - 2²⁸ = 272245873 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 540681292 and 540681301.

It is not a weakly prime, because it can be changed into another prime (540681929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270340664 + 270340665.

It is an arithmetic number, because the mean of its divisors is an integer number (270340665).

Almost surely, 2^540681329 is an apocalyptic number.

It is an amenable number.

540681329 is a deficient number, since it is larger than the sum of its proper divisors (1).

540681329 is an equidigital number, since it uses as much as digits as its factorization.

540681329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 540681329 is about 23252.5553219426. Note that the first 3 decimals coincide. The cubic root of 540681329 is about 814.6676246399.

The spelling of 540681329 in words is "five hundred forty million, six hundred eighty-one thousand, three hundred twenty-nine".