5383131600 has 960 divisors, whose sum is σ = 23912755200. Its totient is φ = 1000243200.

The previous prime is 5383131553. The next prime is 5383131647. The reversal of 5383131600 is 61313835.

It is an interprime number because it is at equal distance from previous prime (5383131553) and next prime (5383131647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36128326 + ... + 36128474.

It is an arithmetic number, because the mean of its divisors is an integer number (24909120).

Almost surely, 2^5383131600 is an apocalyptic number.

5383131600 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 5383131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956377600).

5383131600 is an abundant number, since it is smaller than the sum of its proper divisors (18529623600).

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

5383131600 is a wasteful number, since it uses less digits than its factorization.

5383131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5383131600 is about 73369.8275860043. The cubic root of 5383131600 is about 1752.5819411247.

The spelling of 5383131600 in words is "five billion, three hundred eighty-three million, one hundred thirty-one thousand, six hundred".