5312135400 has 384 divisors, whose sum is σ = 19569997440. Its totient is φ = 1175040000.

The previous prime is 5312135393. The next prime is 5312135429. The reversal of 5312135400 is 45312135.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 8665494 + ... + 8666106.

It is an arithmetic number, because the mean of its divisors is an integer number (50963535).

Almost surely, 2^5312135400 is an apocalyptic number.

5312135400 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 5312135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784998720).

5312135400 is an abundant number, since it is smaller than the sum of its proper divisors (14257862040).

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

5312135400 is a wasteful number, since it uses less digits than its factorization.

5312135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5312135400 is about 72884.3975072855. The cubic root of 5312135400 is about 1744.8430933648.

Adding to 5312135400 its reverse (45312135), we get a palindrome (5357447535).

The spelling of 5312135400 in words is "five billion, three hundred twelve million, one hundred thirty-five thousand, four hundred".