52054000 has 80 divisors (see below), whose sum is σ = 133357536. Its totient is φ = 19584000.

The previous prime is 52053997. The next prime is 52054007. The reversal of 52054000 is 45025.

It is a happy number.

52054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52054007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33235 + ... + 34765.

Almost surely, 2^52054000 is an apocalyptic number.

52054000 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 52054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66678768).

52054000 is an abundant number, since it is smaller than the sum of its proper divisors (81303536).

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

52054000 is a wasteful number, since it uses less digits than its factorization.

52054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 52054000 is about 7214.8458056981. The cubic root of 52054000 is about 373.3802732929.

Adding to 52054000 its reverse (45025), we get a palindrome (52099025).

The spelling of 52054000 in words is "fifty-two million, fifty-four thousand", and thus it is an eban number.