10179309393009 has 9 divisors (see below), whose sum is σ = 14703460726539. Its totient is φ = 6786199881000.

The previous prime is 10179309392983. The next prime is 10179309393013. The reversal of 10179309393009 is 90039390397101.

The square root of 10179309393009 is 3190503.

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

10179309393009 is a `hidden beast` number, since 10 + 17 + 9 + 309 + 3 + 9 + 300 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10079970960609 + 99338432400 = 3174897^2 + 315180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10179309393009 - 2¹¹ = 10179309390961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10179309395009) 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 8 ways as a sum of consecutive naturals, for example, 9039759 + ... + 10103259.

Almost surely, 2^{10179309393009} is an apocalyptic number.

10179309393009 is the 3190503-rd square number.

10179309393009 is the 1595252-nd centered octagonal number.

It is an amenable number.

10179309393009 is a deficient number, since it is larger than the sum of its proper divisors (4524151333530).

10179309393009 is an frugal number, since it uses more digits than its factorization.

10179309393009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127008 (or 1063504 counting only the distinct ones).

The product of its (nonzero) digits is 1240029, while the sum is 54.

The spelling of 10179309393009 in words is "ten trillion, one hundred seventy-nine billion, three hundred nine million, three hundred ninety-three thousand, nine".