5164900 has 72 divisors (see below), whose sum is σ = 12577320. Its totient is φ = 1827840.

The previous prime is 5164897. The next prime is 5164921. The reversal of 5164900 is 94615.

It can be written as a sum of positive squares in 12 ways, for example, as 2010724 + 3154176 = 1418^2 + 1776^2 .

It is a super-3 number, since 3×5164900³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37632 + ... + 37768.

It is an arithmetic number, because the mean of its divisors is an integer number (174685).

Almost surely, 2^5164900 is an apocalyptic number.

5164900 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 5164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288660).

5164900 is an abundant number, since it is smaller than the sum of its proper divisors (7412420).

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

5164900 is a wasteful number, since it uses less digits than its factorization.

5164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5164900 is about 2272.6416347502. The cubic root of 5164900 is about 172.8571330998.

The spelling of 5164900 in words is "five million, one hundred sixty-four thousand, nine hundred".