1007135807 has 2 divisors, whose sum is σ = 1007135808. Its totient is φ = 1007135806.

The previous prime is 1007135797. The next prime is 1007135821. The reversal of 1007135807 is 7085317001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1007135807 - 2¹⁸ = 1006873663 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007135827) 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 as a sum of consecutive naturals, namely, 503567903 + 503567904.

It is an arithmetic number, because the mean of its divisors is an integer number (503567904).

Almost surely, 2^1007135807 is an apocalyptic number.

1007135807 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007135807 is an equidigital number, since it uses as much as digits as its factorization.

1007135807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 1007135807 is about 31735.4030540026. The cubic root of 1007135807 is about 1002.3729669074.

The spelling of 1007135807 in words is "one billion, seven million, one hundred thirty-five thousand, eight hundred seven".