3381167585617 has 2 divisors, whose sum is σ = 3381167585618. Its totient is φ = 3381167585616.

The previous prime is 3381167585591. The next prime is 3381167585639. The reversal of 3381167585617 is 7165857611833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3376152679761 + 5014905856 = 1837431^2 + 70816^2 .

It is an emirp because it is prime and its reverse (7165857611833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3381167585617 - 2¹⁹ = 3381167061329 is a prime.

It is a super-2 number, since 2×3381167585617² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3381167585417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1690583792808 + 1690583792809.

It is an arithmetic number, because the mean of its divisors is an integer number (1690583792809).

Almost surely, 2^{3381167585617} is an apocalyptic number.

It is an amenable number.

3381167585617 is a deficient number, since it is larger than the sum of its proper divisors (1).

3381167585617 is an equidigital number, since it uses as much as digits as its factorization.

3381167585617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25401600, while the sum is 61.

The spelling of 3381167585617 in words is "three trillion, three hundred eighty-one billion, one hundred sixty-seven million, five hundred eighty-five thousand, six hundred seventeen".