5131123200 has 900 divisors, whose sum is σ = 22309905222. Its totient is φ = 1161216000.

The previous prime is 5131123181. The next prime is 5131123201. The reversal of 5131123200 is 23211315.

It can be written as a sum of positive squares in 3 ways, for example, as 4837480704 + 293642496 = 69552^2 + 17136^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is not an unprimeable number, because it can be changed into a prime (5131123201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50803150 + ... + 50803250.

Almost surely, 2^5131123200 is an apocalyptic number.

5131123200 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 5131123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154952611).

5131123200 is an abundant number, since it is smaller than the sum of its proper divisors (17178782022).

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

5131123200 is a wasteful number, since it uses less digits than its factorization.

5131123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5131123200 is about 71631.8588339016. The cubic root of 5131123200 is about 1724.7949850869.

Adding to 5131123200 its reverse (23211315), we get a palindrome (5154334515).

The spelling of 5131123200 in words is "five billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred".