1947117967001 has 2 divisors, whose sum is σ = 1947117967002. Its totient is φ = 1947117967000.

The previous prime is 1947117966973. The next prime is 1947117967021. The reversal of 1947117967001 is 1007697117491.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1456725888601 + 490392078400 = 1206949^2 + 700280^2 .

It is an emirp because it is prime and its reverse (1007697117491) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1947117967001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1947117967021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 973558983500 + 973558983501.

It is an arithmetic number, because the mean of its divisors is an integer number (973558983501).

Almost surely, 2^{1947117967001} is an apocalyptic number.

It is an amenable number.

1947117967001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1947117967001 is an equidigital number, since it uses as much as digits as its factorization.

1947117967001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 666792, while the sum is 53.

The spelling of 1947117967001 in words is "one trillion, nine hundred forty-seven billion, one hundred seventeen million, nine hundred sixty-seven thousand, one".