1005095909661 has 16 divisors (see below), whose sum is σ = 1411178059200. Its totient is φ = 634564706688.

The previous prime is 1005095909641. The next prime is 1005095909663. The reversal of 1005095909661 is 1669095905001.

It is a happy number.

It is not a de Polignac number, because 1005095909661 - 2⁷ = 1005095909533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005095909663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3075166 + ... + 3386271.

It is an arithmetic number, because the mean of its divisors is an integer number (88198628700).

Almost surely, 2^{1005095909661} is an apocalyptic number.

It is an amenable number.

1005095909661 is a deficient number, since it is larger than the sum of its proper divisors (406082149539).

1005095909661 is a wasteful number, since it uses less digits than its factorization.

1005095909661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464188.

The product of its (nonzero) digits is 656100, while the sum is 51.

The spelling of 1005095909661 in words is "one trillion, five billion, ninety-five million, nine hundred nine thousand, six hundred sixty-one".