5138309702656 has 99 divisors (see below), whose sum is σ = 11124545001651. Its totient is φ = 2371092332544.

The previous prime is 5138309702641. The next prime is 5138309702677. The reversal of 5138309702656 is 6562079038315.

The square root of 5138309702656 is 2266784.

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 2894353638400 + 2243956064256 = 1701280^2 + 1497984^2 .

It is a super-2 number, since 2×5138309702656² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5138309702597 and 5138309702606.

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 8 ways as a sum of consecutive naturals, for example, 942979420 + ... + 942984868.

Almost surely, 2^{5138309702656} is an apocalyptic number.

5138309702656 is the 2266784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138309702656

5138309702656 is an abundant number, since it is smaller than the sum of its proper divisors (5986235298995).

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

5138309702656 is an frugal number, since it uses more digits than its factorization.

5138309702656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 5138309702656 in words is "five trillion, one hundred thirty-eight billion, three hundred nine million, seven hundred two thousand, six hundred fifty-six".