1007564117 has 6 divisors (see below), whose sum is σ = 1172064438. Its totient is φ = 863626344.

The previous prime is 1007564111. The next prime is 1007564119. The reversal of 1007564117 is 7114657001.

1007564117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 997991281 + 9572836 = 31591^2 + 3094^2 .

It is not a de Polignac number, because 1007564117 - 2⁴ = 1007564101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007564111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10281218 + ... + 10281315.

It is an arithmetic number, because the mean of its divisors is an integer number (195344073).

Almost surely, 2^1007564117 is an apocalyptic number.

It is an amenable number.

1007564117 is a deficient number, since it is larger than the sum of its proper divisors (164500321).

1007564117 is an equidigital number, since it uses as much as digits as its factorization.

1007564117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20562547 (or 20562540 counting only the distinct ones).

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

The square root of 1007564117 is about 31742.1504785041. The cubic root of 1007564117 is about 1002.5150415962.

The spelling of 1007564117 in words is "one billion, seven million, five hundred sixty-four thousand, one hundred seventeen".