541406054809 has 9 divisors (see below), whose sum is σ = 542670903327. Its totient is φ = 540144152664.

The previous prime is 541406054771. The next prime is 541406054837. The reversal of 541406054809 is 908450604145.

It is a happy number.

The square root of 541406054809 is 735803.

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., 456158406025 + 85247648784 = 675395^2 + 291972^2 .

It is not a de Polignac number, because 541406054809 - 2¹³ = 541406046617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541406054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617338279 + ... + 617339155.

Almost surely, 2^541406054809 is an apocalyptic number.

541406054809 is the 735803-rd square number.

541406054809 is the 367902-nd centered octagonal number.

It is an amenable number.

541406054809 is a deficient number, since it is larger than the sum of its proper divisors (1264848518).

541406054809 is an frugal number, since it uses more digits than its factorization.

541406054809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 541406054809 in words is "five hundred forty-one billion, four hundred six million, fifty-four thousand, eight hundred nine".