53334100 has 72 divisors (see below), whose sum is σ = 123976440. Its totient is φ = 19845120.

The previous prime is 53334067. The next prime is 53334109. The reversal of 53334100 is 143335.

It can be written as a sum of positive squares in 12 ways, for example, as 364816 + 52969284 = 604^2 + 7278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53334109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232786 + ... + 233014.

It is an arithmetic number, because the mean of its divisors is an integer number (1721895).

Almost surely, 2^53334100 is an apocalyptic number.

53334100 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 53334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61988220).

53334100 is an abundant number, since it is smaller than the sum of its proper divisors (70642340).

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

53334100 is a wasteful number, since it uses less digits than its factorization.

53334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 53334100 is about 7303.0199232920. The cubic root of 53334100 is about 376.4162151962.

Adding to 53334100 its reverse (143335), we get a palindrome (53477435).

It can be divided in two parts, 53 and 334100, that added together give a triangular number (334153 = T₈₁₇).

The spelling of 53334100 in words is "fifty-three million, three hundred thirty-four thousand, one hundred".