5262100 has 36 divisors (see below), whose sum is σ = 11553948. Its totient is φ = 2080000.

The previous prime is 5262097. The next prime is 5262109. The reversal of 5262100 is 12625.

It is a happy number.

5262100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8836 + 5253264 = 94^2 + 2292^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9840 + ... + 10360.

It is an arithmetic number, because the mean of its divisors is an integer number (320943).

Almost surely, 2^5262100 is an apocalyptic number.

5262100 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 5262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776974).

5262100 is an abundant number, since it is smaller than the sum of its proper divisors (6291848).

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

5262100 is a wasteful number, since it uses less digits than its factorization.

5262100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5262100 is about 2293.9267643061. The cubic root of 5262100 is about 173.9347533586.

Adding to 5262100 its reverse (12625), we get a palindrome (5274725).

The spelling of 5262100 in words is "five million, two hundred sixty-two thousand, one hundred".