172457068966529 has 2 divisors, whose sum is σ = 172457068966530. Its totient is φ = 172457068966528.

The previous prime is 172457068966519. The next prime is 172457068966607. The reversal of 172457068966529 is 925669860754271.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134937217597504 + 37519851369025 = 11616248^2 + 6125345^2 .

It is a cyclic number.

It is not a de Polignac number, because 172457068966529 - 2¹² = 172457068962433 is a prime.

It is a super-3 number, since 3×172457068966529³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 172457068966529.

It is not a weakly prime, because it can be changed into another prime (172457068966519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86228534483264 + 86228534483265.

It is an arithmetic number, because the mean of its divisors is an integer number (86228534483265).

Almost surely, 2^{172457068966529} is an apocalyptic number.

It is an amenable number.

172457068966529 is a deficient number, since it is larger than the sum of its proper divisors (1).

172457068966529 is an equidigital number, since it uses as much as digits as its factorization.

172457068966529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2743372800, while the sum is 77.

The spelling of 172457068966529 in words is "one hundred seventy-two trillion, four hundred fifty-seven billion, sixty-eight million, nine hundred sixty-six thousand, five hundred twenty-nine".