54525120 has 224 divisors, whose sum is σ = 198168768. Its totient is φ = 12582912.

The previous prime is 54525109. The next prime is 54525131. The reversal of 54525120 is 2152545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54525109) and next prime (54525131).

It is a super-2 number, since 2×54525120² = 5945977422028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212032 + ... + 212288.

It is an arithmetic number, because the mean of its divisors is an integer number (884682).

Almost surely, 2^54525120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99084384).

54525120 is an abundant number, since it is smaller than the sum of its proper divisors (143643648).

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

54525120 is a wasteful number, since it uses less digits than its factorization.

54525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 54525120 is about 7384.1126751967. The cubic root of 54525120 is about 379.1975680380.

Adding to 54525120 its reverse (2152545), we get a palindrome (56677665).

It can be divided in two parts, 54525 and 120, that added together give a palindrome (54645).

The spelling of 54525120 in words is "fifty-four million, five hundred twenty-five thousand, one hundred twenty".