1006715341201 has 2 divisors, whose sum is σ = 1006715341202. Its totient is φ = 1006715341200.

The previous prime is 1006715341199. The next prime is 1006715341207. The reversal of 1006715341201 is 1021435176001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 806547686400 + 200167654801 = 898080^2 + 447401^2 .

It is an emirp because it is prime and its reverse (1021435176001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006715341201 - 2¹ = 1006715341199 is a prime.

Together with 1006715341199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1006715341207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503357670600 + 503357670601.

It is an arithmetic number, because the mean of its divisors is an integer number (503357670601).

Almost surely, 2^{1006715341201} is an apocalyptic number.

It is an amenable number.

1006715341201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006715341201 is an equidigital number, since it uses as much as digits as its factorization.

1006715341201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1006715341201 in words is "one trillion, six billion, seven hundred fifteen million, three hundred forty-one thousand, two hundred one".