10577105613 has 12 divisors (see below), whose sum is σ = 15338913408. Its totient is φ = 7023309000.

The previous prime is 10577105597. The next prime is 10577105639. The reversal of 10577105613 is 31650177501.

10577105613 is a `hidden beast` number, since 10 + 5 + 77 + 10 + 561 + 3 = 666.

It is not a de Polignac number, because 10577105613 - 2⁴ = 10577105597 is a prime.

It is a super-2 number, since 2×10577105613² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577105663) 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 11 ways as a sum of consecutive naturals, for example, 2338845 + ... + 2343362.

It is an arithmetic number, because the mean of its divisors is an integer number (1278242784).

Almost surely, 2^10577105613 is an apocalyptic number.

It is an amenable number.

10577105613 is a deficient number, since it is larger than the sum of its proper divisors (4761807795).

10577105613 is a wasteful number, since it uses less digits than its factorization.

10577105613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682464 (or 4682461 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 10577105613 in words is "ten billion, five hundred seventy-seven million, one hundred five thousand, six hundred thirteen".