10575724162001 has 2 divisors, whose sum is σ = 10575724162002. Its totient is φ = 10575724162000.

The previous prime is 10575724161929. The next prime is 10575724162099. The reversal of 10575724162001 is 10026142757501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10574203240000 + 1520922001 = 3251800^2 + 38999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10575724162001 is a prime.

It is a super-2 number, since 2×10575724162001² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10575724162001.

It is not a weakly prime, because it can be changed into another prime (10575724162901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5287862081000 + 5287862081001.

It is an arithmetic number, because the mean of its divisors is an integer number (5287862081001).

Almost surely, 2^{10575724162001} is an apocalyptic number.

It is an amenable number.

10575724162001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10575724162001 is an equidigital number, since it uses as much as digits as its factorization.

10575724162001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 10575724162001 in words is "ten trillion, five hundred seventy-five billion, seven hundred twenty-four million, one hundred sixty-two thousand, one".