5130915840 has 312 divisors, whose sum is σ = 18461596608. Its totient is φ = 1366917120.

The previous prime is 5130915827. The next prime is 5130915863. The reversal of 5130915840 is 485190315.

5130915840 is a `hidden beast` number, since 513 + 0 + 91 + 58 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5130915795 and 5130915804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976125 + ... + 4977155.

It is an arithmetic number, because the mean of its divisors is an integer number (59171784).

Almost surely, 2^5130915840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230798304).

5130915840 is an abundant number, since it is smaller than the sum of its proper divisors (13330680768).

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

5130915840 is an equidigital number, since it uses as much as digits as its factorization.

5130915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5130915840 is about 71630.4114186146. The cubic root of 5130915840 is about 1724.7717505180.

The spelling of 5130915840 in words is "five billion, one hundred thirty million, nine hundred fifteen thousand, eight hundred forty".