1066510100601 has 48 divisors (see below), whose sum is σ = 1733606417088. Its totient is φ = 626284137600.

The previous prime is 1066510100587. The next prime is 1066510100603. The reversal of 1066510100601 is 1060010156601.

1066510100601 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 51 + 0 + 1 + 0 + 0 + 601 = 666.

1066510100601 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1066510100601 - 2²⁹ = 1065973229689 is a prime.

It is a super-2 number, since 2×1066510100601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066510100603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913326 + ... + 1722551.

It is an arithmetic number, because the mean of its divisors is an integer number (36116800356).

Almost surely, 2^{1066510100601} is an apocalyptic number.

1066510100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1066510100601 is a deficient number, since it is larger than the sum of its proper divisors (667096316487).

1066510100601 is a wasteful number, since it uses less digits than its factorization.

1066510100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636022 (or 2636019 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1066510100601 in words is "one trillion, sixty-six billion, five hundred ten million, one hundred thousand, six hundred one".