53033000 has 64 divisors (see below), whose sum is σ = 125208720. Its totient is φ = 21024000.

The previous prime is 53032999. The next prime is 53033003. The reversal of 53033000 is 33035.

It can be written as a sum of positive squares in 8 ways, for example, as 702244 + 52330756 = 838^2 + 7234^2 .

It is not an unprimeable number, because it can be changed into a prime (53033003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180854 + ... + 181146.

Almost surely, 2^53033000 is an apocalyptic number.

53033000 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 53033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62604360).

53033000 is an abundant number, since it is smaller than the sum of its proper divisors (72175720).

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

53033000 is a wasteful number, since it uses less digits than its factorization.

53033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 14.

The square root of 53033000 is about 7282.3759858991. The cubic root of 53033000 is about 375.7065198949.

Adding to 53033000 its reverse (33035), we get a palindrome (53066035).

The spelling of 53033000 in words is "fifty-three million, thirty-three thousand".