1001663361 has 16 divisors (see below), whose sum is σ = 1498357120. Its totient is φ = 661290480.

The previous prime is 1001663353. The next prime is 1001663381. The reversal of 1001663361 is 1633661001.

It is a happy number.

1001663361 is a `hidden beast` number, since 10 + 0 + 16 + 633 + 6 + 1 = 666.

1001663361 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 1001663361 - 2³ = 1001663353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001663381) 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, 177310 + ... + 182871.

It is an arithmetic number, because the mean of its divisors is an integer number (93647320).

Almost surely, 2^1001663361 is an apocalyptic number.

It is an amenable number.

1001663361 is a deficient number, since it is larger than the sum of its proper divisors (496693759).

1001663361 is a wasteful number, since it uses less digits than its factorization.

1001663361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360293 (or 360287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1001663361 is about 31649.0657208076. The cubic root of 1001663361 is about 1000.5541465316.

The spelling of 1001663361 in words is "one billion, one million, six hundred sixty-three thousand, three hundred sixty-one".