5130523984356 has 405 divisors, whose sum is σ = 14629904741529. Its totient is φ = 1567570636224.

The previous prime is 5130523984273. The next prime is 5130523984363. The reversal of 5130523984356 is 6534893250315.

The square root of 5130523984356 is 2265066.

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

5130523984356 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 523 + 9 + 84 + 35 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4590863316900 + 539660667456 = 2142630^2 + 734616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28662145075 + ... + 28662145253.

Almost surely, 2^{5130523984356} is an apocalyptic number.

5130523984356 is the 2265066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130523984356

5130523984356 is an abundant number, since it is smaller than the sum of its proper divisors (9499380757173).

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

5130523984356 is a wasteful number, since it uses less digits than its factorization.

5130523984356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 5130523984356 in words is "five trillion, one hundred thirty billion, five hundred twenty-three million, nine hundred eighty-four thousand, three hundred fifty-six".