10682511825553 has 32 divisors (see below), whose sum is σ = 11576356577280. Its totient is φ = 9838501989120.

The previous prime is 10682511825533. The next prime is 10682511825637. The reversal of 10682511825553 is 35552811528601.

It is a de Polignac number, because none of the positive numbers 2^k-10682511825553 is a prime.

It is a super-2 number, since 2×10682511825553² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10682511825553.

It is not an unprimeable number, because it can be changed into a prime (10682511825533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8286100 + ... + 9488122.

It is an arithmetic number, because the mean of its divisors is an integer number (361761143040).

Almost surely, 2^{10682511825553} is an apocalyptic number.

It is an amenable number.

10682511825553 is a deficient number, since it is larger than the sum of its proper divisors (893844751727).

10682511825553 is a wasteful number, since it uses less digits than its factorization.

10682511825553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202269.

The product of its (nonzero) digits is 2880000, while the sum is 52.

The spelling of 10682511825553 in words is "ten trillion, six hundred eighty-two billion, five hundred eleven million, eight hundred twenty-five thousand, five hundred fifty-three".