54525952 has 46 divisors (see below), whose sum is σ = 117440498. Its totient is φ = 25165824.

The previous prime is 54525917. The next prime is 54525979. The reversal of 54525952 is 25952545.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 16777216 = 6144^2 + 4096^2 .

Its product of digits (90000) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194298 + ... + 4194310.

Almost surely, 2^54525952 is an apocalyptic number.

54525952 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 54525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58720249).

54525952 is an abundant number, since it is smaller than the sum of its proper divisors (62914546).

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

54525952 is an frugal number, since it uses more digits than its factorization.

54525952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 15 counting only the distinct ones).

The product of its digits is 90000, while the sum is 37.

The square root of 54525952 is about 7384.1690121503. The cubic root of 54525952 is about 379.1994967561.

The spelling of 54525952 in words is "fifty-four million, five hundred twenty-five thousand, nine hundred fifty-two".