5135533200 has 360 divisors, whose sum is σ = 20788352000. Its totient is φ = 1173553920.

The previous prime is 5135533189. The next prime is 5135533211. The reversal of 5135533200 is 23355315.

It is an interprime number because it is at equal distance from previous prime (5135533189) and next prime (5135533211).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1232721 + ... + 1236879.

Almost surely, 2^5135533200 is an apocalyptic number.

5135533200 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 5135533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394176000).

5135533200 is an abundant number, since it is smaller than the sum of its proper divisors (15652818800).

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

5135533200 is a wasteful number, since it uses less digits than its factorization.

5135533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 5135533200 is about 71662.6346152582. The cubic root of 5135533200 is about 1725.2889749022.

Adding to 5135533200 its reverse (23355315), we get a palindrome (5158888515).

The spelling of 5135533200 in words is "five billion, one hundred thirty-five million, five hundred thirty-three thousand, two hundred".