540517569601 has 27 divisors (see below), whose sum is σ = 584877809001. Its totient is φ = 499417739904.

The previous prime is 540517569563. The next prime is 540517569643. The reversal of 540517569601 is 106965715045.

The square root of 540517569601 is 735199.

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 348866241201 + 191651328400 = 590649^2 + 437780^2 .

It is not a de Polignac number, because 540517569601 - 2⁹ = 540517569089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540517569101) 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, 737404231 + ... + 737404963.

Almost surely, 2^540517569601 is an apocalyptic number.

540517569601 is the 735199-th square number.

540517569601 is the 367600-th centered octagonal number.

It is an amenable number.

540517569601 is a deficient number, since it is larger than the sum of its proper divisors (44360239400).

540517569601 is an frugal number, since it uses more digits than its factorization.

540517569601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

Multiplying 540517569601 by its sum of digits (49), we get a square (26485360910449 = 5146393²).

The spelling of 540517569601 in words is "five hundred forty billion, five hundred seventeen million, five hundred sixty-nine thousand, six hundred one".