167715372547001 has 2 divisors, whose sum is σ = 167715372547002. Its totient is φ = 167715372547000.

The previous prime is 167715372546961. The next prime is 167715372547003. The reversal of 167715372547001 is 100745273517761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151107424715776 + 16607947831225 = 12292576^2 + 4075285^2 .

It is a cyclic number.

It is not a de Polignac number, because 167715372547001 - 2⁶ = 167715372546937 is a prime.

Together with 167715372547003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (167715372547003) 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 as a sum of consecutive naturals, namely, 83857686273500 + 83857686273501.

It is an arithmetic number, because the mean of its divisors is an integer number (83857686273501).

Almost surely, 2^{167715372547001} is an apocalyptic number.

It is an amenable number.

167715372547001 is a deficient number, since it is larger than the sum of its proper divisors (1).

167715372547001 is an equidigital number, since it uses as much as digits as its factorization.

167715372547001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8643600, while the sum is 56.

The spelling of 167715372547001 in words is "one hundred sixty-seven trillion, seven hundred fifteen billion, three hundred seventy-two million, five hundred forty-seven thousand, one".