10173975570889 has 27 divisors (see below), whose sum is σ = 11123730528309. Its totient is φ = 9301068972000.

The previous prime is 10173975570887. The next prime is 10173975570931. The reversal of 10173975570889 is 98807557937101.

The square root of 10173975570889 is 3189667.

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 355830145225 + 9818145425664 = 596515^2 + 3133392^2 .

It is not a de Polignac number, because 10173975570889 - 2¹ = 10173975570887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10173975570887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4519757014 + ... + 4519759264.

It is an arithmetic number, because the mean of its divisors is an integer number (411990019567).

Almost surely, 2^{10173975570889} is an apocalyptic number.

10173975570889 is the 3189667-th square number.

10173975570889 is the 1594834-th centered octagonal number.

It is an amenable number.

10173975570889 is a deficient number, since it is larger than the sum of its proper divisors (949754957420).

10173975570889 is an frugal number, since it uses more digits than its factorization.

10173975570889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 70.

The spelling of 10173975570889 in words is "ten trillion, one hundred seventy-three billion, nine hundred seventy-five million, five hundred seventy thousand, eight hundred eighty-nine".