5130995128900 has 81 divisors (see below), whose sum is σ = 11506589941917. Its totient is φ = 1985919842400.

The previous prime is 5130995128873. The next prime is 5130995128901. The reversal of 5130995128900 is 98215990315.

The square root of 5130995128900 is 2265170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1847158246404 + 3283836882496 = 1359102^2 + 1812136^2 .

It is a super-2 number, since 2×5130995128900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5130995128901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 702199047 + ... + 702206353.

Almost surely, 2^{5130995128900} is an apocalyptic number.

5130995128900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5130995128900 is the 2265170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130995128900

5130995128900 is an abundant number, since it is smaller than the sum of its proper divisors (6375594813017).

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

5130995128900 is an frugal number, since it uses more digits than its factorization.

5130995128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The spelling of 5130995128900 in words is "five trillion, one hundred thirty billion, nine hundred ninety-five million, one hundred twenty-eight thousand, nine hundred".