5130828251136 has 576 divisors, whose sum is σ = 17595541474560. Its totient is φ = 1465377619968.

The previous prime is 5130828251113. The next prime is 5130828251137. The reversal of 5130828251136 is 6311528280315.

5130828251136 is a `hidden beast` number, since 5 + 1 + 308 + 282 + 51 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 5130828251091 and 5130828251100.

It is not an unprimeable number, because it can be changed into a prime (5130828251137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2006579970 + ... + 2006582526.

It is an arithmetic number, because the mean of its divisors is an integer number (30547815060).

Almost surely, 2^{5130828251136} is an apocalyptic number.

5130828251136 is a gapful number since it is divisible by the number (56) 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 5130828251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797770737280).

5130828251136 is an abundant number, since it is smaller than the sum of its proper divisors (12464713223424).

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

5130828251136 is an frugal number, since it uses more digits than its factorization.

5130828251136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5130828251136 in words is "five trillion, one hundred thirty billion, eight hundred twenty-eight million, two hundred fifty-one thousand, one hundred thirty-six".