5153101200 has 720 divisors, whose sum is σ = 21147535360. Its totient is φ = 1184440320.

The previous prime is 5153101199. The next prime is 5153101211. The reversal of 5153101200 is 21013515.

5153101200 is a `hidden beast` number, since 515 + 31 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×5153101200³ (a number of 30 digits) contains 333 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 40575537 + ... + 40575663.

Almost surely, 2^5153101200 is an apocalyptic number.

5153101200 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 5153101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573767680).

5153101200 is an abundant number, since it is smaller than the sum of its proper divisors (15994434160).

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

5153101200 is a wasteful number, since it uses less digits than its factorization.

5153101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5153101200 is about 71785.1043044447. The cubic root of 5153101200 is about 1727.2540665490.

Adding to 5153101200 its reverse (21013515), we get a palindrome (5174114715).

The spelling of 5153101200 in words is "five billion, one hundred fifty-three million, one hundred one thousand, two hundred".