540511142304361 has 2 divisors, whose sum is σ = 540511142304362. Its totient is φ = 540511142304360.

The previous prime is 540511142304281. The next prime is 540511142304373. The reversal of 540511142304361 is 163403241115045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368802065808400 + 171709076495961 = 19204220^2 + 13103781^2 .

It is a cyclic number.

It is not a de Polignac number, because 540511142304361 - 2¹⁹ = 540511141780073 is a prime.

It is not a weakly prime, because it can be changed into another prime (540511142394361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270255571152180 + 270255571152181.

It is an arithmetic number, because the mean of its divisors is an integer number (270255571152181).

Almost surely, 2^{540511142304361} is an apocalyptic number.

It is an amenable number.

540511142304361 is a deficient number, since it is larger than the sum of its proper divisors (1).

540511142304361 is an equidigital number, since it uses as much as digits as its factorization.

540511142304361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 540511142304361 in words is "five hundred forty trillion, five hundred eleven billion, one hundred forty-two million, three hundred four thousand, three hundred sixty-one".