54112500 has 216 divisors, whose sum is σ = 189097272. Its totient is φ = 12960000.

The previous prime is 54112477. The next prime is 54112501. The reversal of 54112500 is 521145.

54112500 is a `hidden beast` number, since 5 + 411 + 250 + 0 = 666.

54112500 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 12 ways, for example, as 53846244 + 266256 = 7338^2 + 516^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54112501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1462482 + ... + 1462518.

Almost surely, 2^54112500 is an apocalyptic number.

54112500 is a gapful number since it is divisible by the number (50) 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 54112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548636).

54112500 is an abundant number, since it is smaller than the sum of its proper divisors (134984772).

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

54112500 is a wasteful number, since it uses less digits than its factorization.

54112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 54112500 is about 7356.1199011435. The cubic root of 54112500 is about 378.2386164510.

Adding to 54112500 its reverse (521145), we get a palindrome (54633645).

It can be divided in two parts, 541 and 12500, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 54112500 in words is "fifty-four million, one hundred twelve thousand, five hundred".