167417591610025 has 81 divisors (see below), whose sum is σ = 220872646367191. Its totient is φ = 125873441694880.

The previous prime is 167417591609993. The next prime is 167417591610107. The reversal of 167417591610025 is 520016195714761.

The square root of 167417591610025 is 12938995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60270332979609 + 107147258630416 = 7763397^2 + 10351196^2 .

It is not a de Polignac number, because 167417591610025 - 2⁵ = 167417591609993 is a prime.

It is a super-2 number, since 2×167417591610025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87791080122 + ... + 87791082028.

Almost surely, 2^{167417591610025} is an apocalyptic number.

167417591610025 is the 12938995-th square number.

167417591610025 is the 6469498-th centered octagonal number.

It is an amenable number.

167417591610025 is a deficient number, since it is larger than the sum of its proper divisors (53455054757166).

167417591610025 is an frugal number, since it uses more digits than its factorization.

167417591610025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 167417591610025 in words is "one hundred sixty-seven trillion, four hundred seventeen billion, five hundred ninety-one million, six hundred ten thousand, twenty-five".