54132561 has 24 divisors (see below), whose sum is σ = 90192960. Its totient is φ = 30645216.

The previous prime is 54132527. The next prime is 54132563. The reversal of 54132561 is 16523145.

It is not a de Polignac number, because 54132561 - 2¹¹ = 54130513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54132563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2926 + ... + 10808.

It is an arithmetic number, because the mean of its divisors is an integer number (3758040).

Almost surely, 2^54132561 is an apocalyptic number.

It is an amenable number.

54132561 is a deficient number, since it is larger than the sum of its proper divisors (36060399).

54132561 is a wasteful number, since it uses less digits than its factorization.

54132561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 8002 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 54132561 is about 7357.4833333145. The cubic root of 54132561 is about 378.2853518473.

The spelling of 54132561 in words is "fifty-four million, one hundred thirty-two thousand, five hundred sixty-one".