53052000 has 96 divisors (see below), whose sum is σ = 173837664. Its totient is φ = 14144000.

The previous prime is 53051989. The next prime is 53052037. The reversal of 53052000 is 25035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9790 + ... + 14210.

It is an arithmetic number, because the mean of its divisors is an integer number (1810809).

Almost surely, 2^53052000 is an apocalyptic number.

53052000 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 53052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86918832).

53052000 is an abundant number, since it is smaller than the sum of its proper divisors (120785664).

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

53052000 is a wasteful number, since it uses less digits than its factorization.

53052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 53052000 is about 7283.6803883751. The cubic root of 53052000 is about 375.7513823489.

Adding to 53052000 its reverse (25035), we get a palindrome (53077035).

The spelling of 53052000 in words is "fifty-three million, fifty-two thousand".