10217975056 has 45 divisors (see below), whose sum is σ = 20376684741. Its totient is φ = 4963628736.

The previous prime is 10217975041. The next prime is 10217975071. The reversal of 10217975056 is 65057971201.

The square root of 10217975056 is 101084.

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

It is an interprime number because it is at equal distance from previous prime (10217975041) and next prime (10217975071).

It can be written as a sum of positive squares in only one way, i.e., 9143184400 + 1074790656 = 95620^2 + 32784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14960091 + ... + 14960773.

Almost surely, 2^10217975056 is an apocalyptic number.

10217975056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10217975056 is the 101084-th square number.

It is an amenable number.

10217975056 is a deficient number, since it is larger than the sum of its proper divisors (10158709685).

10217975056 is an frugal number, since it uses more digits than its factorization.

10217975056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 43.

The spelling of 10217975056 in words is "ten billion, two hundred seventeen million, nine hundred seventy-five thousand, fifty-six".