1065838385601 has 32 divisors (see below), whose sum is σ = 1723016240640. Its totient is φ = 645794226000.

The previous prime is 1065838385587. The next prime is 1065838385609.

1065838385601 is a `hidden beast` number, since 1 + 0 + 6 + 583 + 8 + 3 + 8 + 56 + 0 + 1 = 666.

1065838385601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1065838385601 - 2¹¹ = 1065838383553 is a prime.

It is a super-2 number, since 2×1065838385601² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1065838385609) 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 31 ways as a sum of consecutive naturals, for example, 677806 + ... + 1609688.

It is an arithmetic number, because the mean of its divisors is an integer number (53844257520).

Almost surely, 2^{1065838385601} is an apocalyptic number.

1065838385601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1065838385601 is a deficient number, since it is larger than the sum of its proper divisors (657177855039).

1065838385601 is a wasteful number, since it uses less digits than its factorization.

1065838385601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935754 (or 935748 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1065838385601 in words is "one trillion, sixty-five billion, eight hundred thirty-eight million, three hundred eighty-five thousand, six hundred one".