5135411200 has 144 divisors (see below), whose sum is σ = 13405392000. Its totient is φ = 1945681920.

The previous prime is 5135411167. The next prime is 5135411201. The reversal of 5135411200 is 21145315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5135411201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970161 + ... + 975439.

It is an arithmetic number, because the mean of its divisors is an integer number (93093000).

Almost surely, 2^5135411200 is an apocalyptic number.

5135411200 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 5135411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696000).

5135411200 is an abundant number, since it is smaller than the sum of its proper divisors (8269980800).

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

5135411200 is a wasteful number, since it uses less digits than its factorization.

5135411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5135411200 is about 71661.7833995220. The cubic root of 5135411200 is about 1725.2753127751.

Adding to 5135411200 its reverse (21145315), we get a palindrome (5156556515).

The spelling of 5135411200 in words is "five billion, one hundred thirty-five million, four hundred eleven thousand, two hundred".