5209100820 has 432 divisors, whose sum is σ = 20734338240. Its totient is φ = 1081745280.

The previous prime is 5209100783. The next prime is 5209100837. The reversal of 5209100820 is 280019025.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3200847 + ... + 3202473.

Almost surely, 2^5209100820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209100820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367169120).

5209100820 is an abundant number, since it is smaller than the sum of its proper divisors (15525237420).

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

5209100820 is a wasteful number, since it uses less digits than its factorization.

5209100820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5209100820 is about 72174.1007564348. The cubic root of 5209100820 is about 1733.4883249801.

Adding to 5209100820 its reverse (280019025), we get a palindrome (5489119845).

The spelling of 5209100820 in words is "five billion, two hundred nine million, one hundred thousand, eight hundred twenty".