5130949825600 has 63 divisors (see below), whose sum is σ = 12625566366927. Its totient is φ = 2052343687680.

The previous prime is 5130949825553. The next prime is 5130949825679. The reversal of 5130949825600 is 65289490315.

The square root of 5130949825600 is 2265160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 295735841856 + 4835213983744 = 543816^2 + 2198912^2 .

It is a super-2 number, since 2×5130949825600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90578086 + ... + 90634714.

Almost surely, 2^{5130949825600} is an apocalyptic number.

5130949825600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5130949825600 is the 2265160-th square number.

It is an amenable number.

5130949825600 is an abundant number, since it is smaller than the sum of its proper divisors (7494616541327).

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

5130949825600 is an frugal number, since it uses more digits than its factorization.

5130949825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113280 (or 56636 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 5130949825600 in words is "five trillion, one hundred thirty billion, nine hundred forty-nine million, eight hundred twenty-five thousand, six hundred".