67725488817017 has 2 divisors, whose sum is σ = 67725488817018. Its totient is φ = 67725488817016.

The previous prime is 67725488817011. The next prime is 67725488817029. The reversal of 67725488817017 is 71071888452776.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35107272169321 + 32618216647696 = 5925139^2 + 5711236^2 .

It is a cyclic number.

It is not a de Polignac number, because 67725488817017 - 2²⁴ = 67725472039801 is a prime.

It is a super-2 number, since 2×67725488817017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67725488817011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33862744408508 + 33862744408509.

It is an arithmetic number, because the mean of its divisors is an integer number (33862744408509).

Almost surely, 2^{67725488817017} is an apocalyptic number.

It is an amenable number.

67725488817017 is a deficient number, since it is larger than the sum of its proper divisors (1).

67725488817017 is an equidigital number, since it uses as much as digits as its factorization.

67725488817017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 295034880, while the sum is 71.

The spelling of 67725488817017 in words is "sixty-seven trillion, seven hundred twenty-five billion, four hundred eighty-eight million, eight hundred seventeen thousand, seventeen".