540681301 has 2 divisors, whose sum is σ = 540681302. Its totient is φ = 540681300.

The previous prime is 540681287. The next prime is 540681329. The reversal of 540681301 is 103186045.

It is an a-pointer prime, because the next prime (540681329) can be obtained adding 540681301 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 531256401 + 9424900 = 23049^2 + 3070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540681301 is a prime.

It is equal to p_28382320 and since 540681301 and 28382320 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540681301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540681341) 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, 270340650 + 270340651.

It is an arithmetic number, because the mean of its divisors is an integer number (270340651).

Almost surely, 2^540681301 is an apocalyptic number.

It is an amenable number.

540681301 is a deficient number, since it is larger than the sum of its proper divisors (1).

540681301 is an equidigital number, since it uses as much as digits as its factorization.

540681301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 540681301 is about 23252.5547198582. The cubic root of 540681301 is about 814.6676105770.

The spelling of 540681301 in words is "five hundred forty million, six hundred eighty-one thousand, three hundred one".