1007128663 has 4 divisors (see below), whose sum is σ = 1007194048. Its totient is φ = 1007063280.

The previous prime is 1007128621. The next prime is 1007128673. The reversal of 1007128663 is 3668217001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3668217001 = 2909 ⋅1260989.

It is a cyclic number.

It is not a de Polignac number, because 1007128663 - 2⁹ = 1007128151 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 (1007128613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4570 + ... + 45112.

It is an arithmetic number, because the mean of its divisors is an integer number (251798512).

Almost surely, 2^1007128663 is an apocalyptic number.

1007128663 is a deficient number, since it is larger than the sum of its proper divisors (65385).

1007128663 is an equidigital number, since it uses as much as digits as its factorization.

1007128663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65384.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1007128663 is about 31735.2904981190. The cubic root of 1007128663 is about 1002.3705968300.

The spelling of 1007128663 in words is "one billion, seven million, one hundred twenty-eight thousand, six hundred sixty-three".