54567558409 has 81 divisors (see below), whose sum is σ = 73502782101. Its totient is φ = 40365561600.

The previous prime is 54567558403. The next prime is 54567558427. The reversal of 54567558409 is 90485576545.

It is a happy number.

The square root of 54567558409 is 233597.

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 492706809 + 54074851600 = 22197^2 + 232540^2 .

It is not a de Polignac number, because 54567558409 - 2¹¹ = 54567556361 is a prime.

It is a super-2 number, since 2×54567558409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54567558403) 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 80 ways as a sum of consecutive naturals, for example, 361374484 + ... + 361374634.

Almost surely, 2^54567558409 is an apocalyptic number.

54567558409 is the 233597-th square number.

54567558409 is the 116799-th centered octagonal number.

It is an amenable number.

54567558409 is a deficient number, since it is larger than the sum of its proper divisors (18935223692).

54567558409 is a wasteful number, since it uses less digits than its factorization.

54567558409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 58.

The spelling of 54567558409 in words is "fifty-four billion, five hundred sixty-seven million, five hundred fifty-eight thousand, four hundred nine".