1007275117 has 2 divisors, whose sum is σ = 1007275118. Its totient is φ = 1007275116.

The previous prime is 1007275103. The next prime is 1007275147. The reversal of 1007275117 is 7115727001.

1007275117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 658743556 + 348531561 = 25666^2 + 18669^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007275117 - 2¹⁵ = 1007242349 is a prime.

It is a super-2 number, since 2×1007275117² = 2029206322654727378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007275147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503637558 + 503637559.

It is an arithmetic number, because the mean of its divisors is an integer number (503637559).

Almost surely, 2^1007275117 is an apocalyptic number.

It is an amenable number.

1007275117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007275117 is an equidigital number, since it uses as much as digits as its factorization.

1007275117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3430, while the sum is 31.

The square root of 1007275117 is about 31737.5978454577. The cubic root of 1007275117 is about 1002.4191818399.

The spelling of 1007275117 in words is "one billion, seven million, two hundred seventy-five thousand, one hundred seventeen".