53071200 has 504 divisors, whose sum is σ = 239078448. Its totient is φ = 11197440.

The previous prime is 53071171. The next prime is 53071201. The reversal of 53071200 is 217035.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53071201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082394 + ... + 4082406.

It is an arithmetic number, because the mean of its divisors is an integer number (474362).

Almost surely, 2^53071200 is an apocalyptic number.

53071200 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 53071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119539224).

53071200 is an abundant number, since it is smaller than the sum of its proper divisors (186007248).

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

53071200 is a wasteful number, since it uses less digits than its factorization.

53071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 53071200 is about 7284.9982841453. The cubic root of 53071200 is about 375.7967061594.

Adding to 53071200 its reverse (217035), we get a palindrome (53288235).

The spelling of 53071200 in words is "fifty-three million, seventy-one thousand, two hundred".