5130116280576 has 945 divisors, whose sum is σ = 18080035721111. Its totient is φ = 1452048933888.

The previous prime is 5130116280547. The next prime is 5130116280577. The reversal of 5130116280576 is 6750826110315.

The square root of 5130116280576 is 2264976.

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

5130116280576 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 11 + 62 + 8 + 0 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (5130116280577) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 47945011915 + ... + 47945012021.

Almost surely, 2^{5130116280576} is an apocalyptic number.

5130116280576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5130116280576 is the 2264976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130116280576

5130116280576 is an abundant number, since it is smaller than the sum of its proper divisors (12949919440535).

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

5130116280576 is an frugal number, since it uses more digits than its factorization.

5130116280576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5130116280576 in words is "five trillion, one hundred thirty billion, one hundred sixteen million, two hundred eighty thousand, five hundred seventy-six".