54561312 has 216 divisors, whose sum is σ = 179852400. Its totient is φ = 15634944.

The previous prime is 54561307. The next prime is 54561323. The reversal of 54561312 is 21316545.

54561312 is a `hidden beast` number, since 5 + 45 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×54561312² = 5953873534322688, which contains 22 as substring.

Its product of digits (3600) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924739 + ... + 924797.

It is an arithmetic number, because the mean of its divisors is an integer number (832650).

Almost surely, 2^54561312 is an apocalyptic number.

54561312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89926200).

54561312 is an abundant number, since it is smaller than the sum of its proper divisors (125291088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54561312 is a wasteful number, since it uses less digits than its factorization.

54561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

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

The square root of 54561312 is about 7386.5629354931. The cubic root of 54561312 is about 379.2814491494.

Adding to 54561312 its reverse (21316545), we get a palindrome (75877857).

The spelling of 54561312 in words is "fifty-four million, five hundred sixty-one thousand, three hundred twelve".