5333100 has 72 divisors (see below), whose sum is σ = 15988560. Its totient is φ = 1370880.

The previous prime is 5333093. The next prime is 5333101. The reversal of 5333100 is 13335.

5333100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5333100² = 56883911220000, which contains 22 as substring.

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

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5333100.

It is not an unprimeable number, because it can be changed into a prime (5333101) 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, 8394 + ... + 9006.

Almost surely, 2^5333100 is an apocalyptic number.

5333100 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 5333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994280).

5333100 is an abundant number, since it is smaller than the sum of its proper divisors (10655460).

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

5333100 is a wasteful number, since it uses less digits than its factorization.

5333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 5333100 is about 2309.3505580574. The cubic root of 5333100 is about 174.7135449671.

Adding to 5333100 its reverse (13335), we get a palindrome (5346435).

It can be divided in two parts, 53 and 33100, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 5333100 in words is "five million, three hundred thirty-three thousand, one hundred".