5313312000 has 432 divisors, whose sum is σ = 20145827520. Its totient is φ = 1340928000.

The previous prime is 5313311987. The next prime is 5313312007. The reversal of 5313312000 is 2133135.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313312007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471515 + ... + 5472485.

It is an arithmetic number, because the mean of its divisors is an integer number (46633860).

Almost surely, 2^5313312000 is an apocalyptic number.

5313312000 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 5313312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072913760).

5313312000 is an abundant number, since it is smaller than the sum of its proper divisors (14832515520).

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

5313312000 is a wasteful number, since it uses less digits than its factorization.

5313312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5313312000 is about 72892.4687467779. The cubic root of 5313312000 is about 1744.9719072770.

Adding to 5313312000 its reverse (2133135), we get a palindrome (5315445135).

It can be divided in two parts, 53 and 13312000, that added together give a cube (13312053 = 237³).

The spelling of 5313312000 in words is "five billion, three hundred thirteen million, three hundred twelve thousand".