1000408961 has 2 divisors, whose sum is σ = 1000408962. Its totient is φ = 1000408960.

The previous prime is 1000408951. The next prime is 1000408987. The reversal of 1000408961 is 1698040001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 594628225 + 405780736 = 24385^2 + 20144^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000408961 - 2¹⁸ = 1000146817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000408921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500204480 + 500204481.

It is an arithmetic number, because the mean of its divisors is an integer number (500204481).

Almost surely, 2^1000408961 is an apocalyptic number.

It is an amenable number.

1000408961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000408961 is an equidigital number, since it uses as much as digits as its factorization.

1000408961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1000408961 is about 31629.2421818797. The cubic root of 1000408961 is about 1000.1363017543.

Adding to 1000408961 its reverse (1698040001), we get a palindrome (2698448962).

The spelling of 1000408961 in words is "one billion, four hundred eight thousand, nine hundred sixty-one".