1007112987967 has 2 divisors, whose sum is σ = 1007112987968. Its totient is φ = 1007112987966.

The previous prime is 1007112987913. The next prime is 1007112987983. The reversal of 1007112987967 is 7697892117001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1007112987967 - 2³⁵ = 972753249599 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007112957967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503556493983 + 503556493984.

It is an arithmetic number, because the mean of its divisors is an integer number (503556493984).

Almost surely, 2^{1007112987967} is an apocalyptic number.

1007112987967 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007112987967 is an equidigital number, since it uses as much as digits as its factorization.

1007112987967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2667168, while the sum is 58.

The spelling of 1007112987967 in words is "one trillion, seven billion, one hundred twelve million, nine hundred eighty-seven thousand, nine hundred sixty-seven".