5209505280 has 800 divisors, whose sum is σ = 22126458816. Its totient is φ = 1146617856.

The previous prime is 5209505237. The next prime is 5209505293. The reversal of 5209505280 is 825059025.

5209505280 is a `hidden beast` number, since 520 + 9 + 5 + 0 + 52 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 53706192 + ... + 53706288.

Almost surely, 2^5209505280 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 5209505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063229408).

5209505280 is an abundant number, since it is smaller than the sum of its proper divisors (16916953536).

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

5209505280 is an equidigital number, since it uses as much as digits as its factorization.

5209505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5209505280 is about 72176.9026766874. The cubic root of 5209505280 is about 1733.5331893157.

The spelling of 5209505280 in words is "five billion, two hundred nine million, five hundred five thousand, two hundred eighty".