54111585 has 64 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 24864000.

The previous prime is 54111557. The next prime is 54111611. The reversal of 54111585 is 58511145.

It is not a de Polignac number, because 54111585 - 2⁵ = 54111553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363091 + ... + 363239.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^54111585 is an apocalyptic number.

54111585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54111585 is a deficient number, since it is larger than the sum of its proper divisors (45421215).

54111585 is a wasteful number, since it uses less digits than its factorization.

54111585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its digits is 4000, while the sum is 30.

The square root of 54111585 is about 7356.0577077671. The cubic root of 54111585 is about 378.2364845327.

It can be divided in two parts, 5411 and 1585, that added together give a palindrome (6996).

The spelling of 54111585 in words is "fifty-four million, one hundred eleven thousand, five hundred eighty-five".