1007312427089 has 8 divisors (see below), whose sum is σ = 1064156778240. Its totient is φ = 950850866736.

The previous prime is 1007312427041. The next prime is 1007312427101. The reversal of 1007312427089 is 9807242137001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007312427089 - 2²⁴ = 1007295649873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007312427389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95692289 + ... + 95702814.

It is an arithmetic number, because the mean of its divisors is an integer number (133019597280).

Almost surely, 2^{1007312427089} is an apocalyptic number.

1007312427089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1007312427089 is a deficient number, since it is larger than the sum of its proper divisors (56844351151).

1007312427089 is a wasteful number, since it uses less digits than its factorization.

1007312427089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191395399.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 1007312427089 in words is "one trillion, seven billion, three hundred twelve million, four hundred twenty-seven thousand, eighty-nine".