1007007075 has 72 divisors (see below), whose sum is σ = 1842451520. Its totient is φ = 525657600.

The previous prime is 1007007061. The next prime is 1007007077. The reversal of 1007007075 is 5707007001.

1007007075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007007075 - 2⁷ = 1007006947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007007077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3217119 + ... + 3217431.

Almost surely, 2^1007007075 is an apocalyptic number.

1007007075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007007075 is a deficient number, since it is larger than the sum of its proper divisors (835444445).

1007007075 is a wasteful number, since it uses less digits than its factorization.

1007007075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 1007007075 is about 31733.3747811354. The cubic root of 1007007075 is about 1002.3302573495.

The spelling of 1007007075 in words is "one billion, seven million, seven thousand, seventy-five".