10577524106113 has 2 divisors, whose sum is σ = 10577524106114. Its totient is φ = 10577524106112.

The previous prime is 10577524106047. The next prime is 10577524106183. The reversal of 10577524106113 is 31160142577501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8452556099584 + 2124968006529 = 2907328^2 + 1457727^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577524106113 - 2⁹ = 10577524105601 is a prime.

It is a super-2 number, since 2×10577524106113² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10577524106113.

It is not a weakly prime, because it can be changed into another prime (10577524106183) 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 as a sum of consecutive naturals, namely, 5288762053056 + 5288762053057.

It is an arithmetic number, because the mean of its divisors is an integer number (5288762053057).

Almost surely, 2^{10577524106113} is an apocalyptic number.

It is an amenable number.

10577524106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577524106113 is an equidigital number, since it uses as much as digits as its factorization.

10577524106113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 10577524106113 in words is "ten trillion, five hundred seventy-seven billion, five hundred twenty-four million, one hundred six thousand, one hundred thirteen".