5313185280 has 640 divisors, whose sum is σ = 20857415040. Its totient is φ = 1289945088.

The previous prime is 5313185261. The next prime is 5313185309. The reversal of 5313185280 is 825813135.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72783324 + ... + 72783396.

It is an arithmetic number, because the mean of its divisors is an integer number (32589711).

Almost surely, 2^5313185280 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 5313185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428707520).

5313185280 is an abundant number, since it is smaller than the sum of its proper divisors (15544229760).

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

5313185280 is an frugal number, since it uses more digits than its factorization.

5313185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5313185280 is about 72891.5995159936. The cubic root of 5313185280 is about 1744.9580349128.

The spelling of 5313185280 in words is "five billion, three hundred thirteen million, one hundred eighty-five thousand, two hundred eighty".