52052000 has 288 divisors, whose sum is σ = 172658304. Its totient is φ = 14976000.

The previous prime is 52051999. The next prime is 52052003. The reversal of 52052000 is 25025.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (52052003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4003994 + ... + 4004006.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 2^52052000 is an apocalyptic number.

52052000 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 52052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

52052000 is an abundant number, since it is smaller than the sum of its proper divisors (120606304).

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

52052000 is a wasteful number, since it uses less digits than its factorization.

52052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 52052000 is about 7214.7072012660. The cubic root of 52052000 is about 373.3754912710.

Adding to 52052000 its reverse (25025), we get a palindrome (52077025).

52052000 divided by its reverse (25025) gives a triangular number (2080 = T₆₄).

It can be divided in two parts, 520 and 52000, that multiplied together give a square (27040000 = 5200²).

The spelling of 52052000 in words is "fifty-two million, fifty-two thousand", and thus it is an eban number.