54557541 has 24 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 34653696.

The previous prime is 54557537. The next prime is 54557543. The reversal of 54557541 is 14575545.

54557541 is a `hidden beast` number, since 5 + 45 + 575 + 41 = 666.

54557541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54557541 - 2² = 54557537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54557496 and 54557505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54557543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92650 + ... + 93236.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^54557541 is an apocalyptic number.

It is an amenable number.

54557541 is a deficient number, since it is larger than the sum of its proper divisors (27997659).

54557541 is a wasteful number, since it uses less digits than its factorization.

54557541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

The product of its digits is 70000, while the sum is 36.

The square root of 54557541 is about 7386.3076702775. The cubic root of 54557541 is about 379.2727109474.

It can be divided in two parts, 5455 and 7541, that added together give a square (12996 = 114²).

The spelling of 54557541 in words is "fifty-four million, five hundred fifty-seven thousand, five hundred forty-one".