5153305200 has 240 divisors, whose sum is σ = 17601060960. Its totient is φ = 1284341760.

The previous prime is 5153305189. The next prime is 5153305231. The reversal of 5153305200 is 25033515.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201996 + ... + 3203604.

It is an arithmetic number, because the mean of its divisors is an integer number (73337754).

Almost surely, 2^5153305200 is an apocalyptic number.

5153305200 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 5153305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800530480).

5153305200 is an abundant number, since it is smaller than the sum of its proper divisors (12447755760).

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

5153305200 is a wasteful number, since it uses less digits than its factorization.

5153305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 5153305200 is about 71786.5251979785. The cubic root of 5153305200 is about 1727.2768589845.

Adding to 5153305200 its reverse (25033515), we get a palindrome (5178338715).

The spelling of 5153305200 in words is "five billion, one hundred fifty-three million, three hundred five thousand, two hundred".