17575206072013 has 2 divisors, whose sum is σ = 17575206072014. Its totient is φ = 17575206072012.

The previous prime is 17575206071921. The next prime is 17575206072031. The reversal of 17575206072013 is 31027060257571.

Together with next prime (17575206072031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17202693597769 + 372512474244 = 4147613^2 + 610338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17575206072013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17575206075013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8787603036006 + 8787603036007.

It is an arithmetic number, because the mean of its divisors is an integer number (8787603036007).

Almost surely, 2^{17575206072013} is an apocalyptic number.

It is an amenable number.

17575206072013 is a deficient number, since it is larger than the sum of its proper divisors (1).

17575206072013 is an equidigital number, since it uses as much as digits as its factorization.

17575206072013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 46.

The spelling of 17575206072013 in words is "seventeen trillion, five hundred seventy-five billion, two hundred six million, seventy-two thousand, thirteen".