10309981559056 has 15 divisors (see below), whose sum is σ = 19975614155301. Its totient is φ = 5154984357696.

The previous prime is 10309981559051. The next prime is 10309981559077. The reversal of 10309981559056 is 65095518990301.

The square root of 10309981559056 is 3210916.

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

It can be written as a sum of positive squares in only one way, i.e., 4340701456 + 10305640857600 = 65884^2 + 3210240^2 .

It is a super-2 number, since 2×10309981559056² (a number of 27 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 = 10309981558985 and 10309981559003.

It is not an unprimeable number, because it can be changed into a prime (10309981559051) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 12442300 + ... + 13245028.

Almost surely, 2^{10309981559056} is an apocalyptic number.

10309981559056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10309981559056 is the 3210916-th square number.

It is an amenable number.

10309981559056 is a deficient number, since it is larger than the sum of its proper divisors (9665632596245).

10309981559056 is an frugal number, since it uses more digits than its factorization.

10309981559056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605466 (or 802731 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 61.

The spelling of 10309981559056 in words is "ten trillion, three hundred nine billion, nine hundred eighty-one million, five hundred fifty-nine thousand, fifty-six".