1006655004641 has 24 divisors (see below), whose sum is σ = 1259091234144. Its totient is φ = 795054524160.

The previous prime is 1006655004601. The next prime is 1006655004673. The reversal of 1006655004641 is 1464005566001.

It is a happy number.

1006655004641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006655004641 - 2³⁰ = 1005581262817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006655004595 and 1006655004604.

It is not an unprimeable number, because it can be changed into a prime (1006655004601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15894971 + ... + 15958176.

It is an arithmetic number, because the mean of its divisors is an integer number (52462134756).

Almost surely, 2^{1006655004641} is an apocalyptic number.

1006655004641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006655004641 is a deficient number, since it is larger than the sum of its proper divisors (252436229503).

1006655004641 is a wasteful number, since it uses less digits than its factorization.

1006655004641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31853201 (or 31853188 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 1006655004641 in words is "one trillion, six billion, six hundred fifty-five million, four thousand, six hundred forty-one".