1005307663 has 2 divisors, whose sum is σ = 1005307664. Its totient is φ = 1005307662.

The previous prime is 1005307661. The next prime is 1005307669. The reversal of 1005307663 is 3667035001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005307663 - 2¹ = 1005307661 is a prime.

Together with 1005307661, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005307661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502653831 + 502653832.

It is an arithmetic number, because the mean of its divisors is an integer number (502653832).

Almost surely, 2^1005307663 is an apocalyptic number.

1005307663 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005307663 is an equidigital number, since it uses as much as digits as its factorization.

1005307663 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 1005307663 is about 31706.5870601047. The cubic root of 1005307663 is about 1001.7661000544.

The spelling of 1005307663 in words is "one billion, five million, three hundred seven thousand, six hundred sixty-three".