1006480972967 has 4 divisors (see below), whose sum is σ = 1008112223136. Its totient is φ = 1004849722800.

The previous prime is 1006480972949. The next prime is 1006480973041. The reversal of 1006480972967 is 7692790846001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1006480972967 - 2⁸ = 1006480972711 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 (1006480972907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815624159 + ... + 815625392.

It is an arithmetic number, because the mean of its divisors is an integer number (252028055784).

Almost surely, 2^{1006480972967} is an apocalyptic number.

1006480972967 is a deficient number, since it is larger than the sum of its proper divisors (1631250169).

1006480972967 is an equidigital number, since it uses as much as digits as its factorization.

1006480972967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631250168.

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 1006480972967 in words is "one trillion, six billion, four hundred eighty million, nine hundred seventy-two thousand, nine hundred sixty-seven".