1007813363 has 16 divisors (see below), whose sum is σ = 1099653120. Its totient is φ = 919766016.

The previous prime is 1007813347. The next prime is 1007813377. The reversal of 1007813363 is 3633187001.

It is a cyclic number.

It is not a de Polignac number, because 1007813363 - 2⁴ = 1007813347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007813063) 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 in 15 ways as a sum of consecutive naturals, for example, 194318 + ... + 199436.

It is an arithmetic number, because the mean of its divisors is an integer number (68728320).

Almost surely, 2^1007813363 is an apocalyptic number.

1007813363 is a deficient number, since it is larger than the sum of its proper divisors (91839757).

1007813363 is a wasteful number, since it uses less digits than its factorization.

1007813363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 1007813363 is about 31746.0763402346. The cubic root of 1007813363 is about 1002.5977004426.

The spelling of 1007813363 in words is "one billion, seven million, eight hundred thirteen thousand, three hundred sixty-three".