10159193647801 has 9 divisors (see below), whose sum is σ = 11166755522853. Its totient is φ = 9235598715420.

The previous prime is 10159193647777. The next prime is 10159193647819. The reversal of 10159193647801 is 10874639195101.

It is a happy number.

The square root of 10159193647801 is 3187349.

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

It is not a de Polignac number, because 10159193647801 - 2⁹ = 10159193647289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10159193647601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34915960 + ... + 35205718.

Almost surely, 2^{10159193647801} is an apocalyptic number.

10159193647801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10159193647801 is the 3187349-th square number.

10159193647801 is the 1593675-th centered octagonal number.

It is an amenable number.

10159193647801 is a deficient number, since it is larger than the sum of its proper divisors (1007561875052).

10159193647801 is an frugal number, since it uses more digits than its factorization.

10159193647801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579540 (or 289770 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 55.

The spelling of 10159193647801 in words is "ten trillion, one hundred fifty-nine billion, one hundred ninety-three million, six hundred forty-seven thousand, eight hundred one".