10721276516567 has 2 divisors, whose sum is σ = 10721276516568. Its totient is φ = 10721276516566.

The previous prime is 10721276516563. The next prime is 10721276516569. The reversal of 10721276516567 is 76561567212701.

10721276516567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10721276516567 - 2² = 10721276516563 is a prime.

It is a super-2 number, since 2×10721276516567² (a number of 27 digits) contains 22 as substring.

Together with 10721276516569, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10721276516563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5360638258283 + 5360638258284.

It is an arithmetic number, because the mean of its divisors is an integer number (5360638258284).

Almost surely, 2^{10721276516567} is an apocalyptic number.

10721276516567 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721276516567 is an equidigital number, since it uses as much as digits as its factorization.

10721276516567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 10721276516567 in words is "ten trillion, seven hundred twenty-one billion, two hundred seventy-six million, five hundred sixteen thousand, five hundred sixty-seven".