1005331563 has 12 divisors (see below), whose sum is σ = 1453488400. Its totient is φ = 669601296.

The previous prime is 1005331559. The next prime is 1005331577. The reversal of 1005331563 is 3651335001.

It is not a de Polignac number, because 1005331563 - 2² = 1005331559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005331163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41263 + ... + 60936.

Almost surely, 2^1005331563 is an apocalyptic number.

1005331563 is a deficient number, since it is larger than the sum of its proper divisors (448156837).

1005331563 is a wasteful number, since it uses less digits than its factorization.

1005331563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103298 (or 103295 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1005331563 is about 31706.9639511575. The cubic root of 1005331563 is about 1001.7740385926.

Adding to 1005331563 its reverse (3651335001), we get a palindrome (4656666564).

It can be divided in two parts, 10053 and 31563, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 1005331563 in words is "one billion, five million, three hundred thirty-one thousand, five hundred sixty-three".