54958561 has 16 divisors (see below), whose sum is σ = 64234368. Its totient is φ = 46051200.

The previous prime is 54958513. The next prime is 54958627. The reversal of 54958561 is 16585945.

54958561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 54958561 - 2¹¹ = 54956513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54958511) 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 15 ways as a sum of consecutive naturals, for example, 66531 + ... + 67351.

It is an arithmetic number, because the mean of its divisors is an integer number (4014648).

Almost surely, 2^54958561 is an apocalyptic number.

It is an amenable number.

54958561 is a deficient number, since it is larger than the sum of its proper divisors (9275807).

54958561 is a wasteful number, since it uses less digits than its factorization.

54958561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032.

The product of its digits is 216000, while the sum is 43.

The square root of 54958561 is about 7413.4041438465. The cubic root of 54958561 is about 380.1997126569.

The spelling of 54958561 in words is "fifty-four million, nine hundred fifty-eight thousand, five hundred sixty-one".