166712973025 has 27 divisors (see below), whose sum is σ = 208689206931. Its totient is φ = 132114432240.

The previous prime is 166712973017. The next prime is 166712973067. The reversal of 166712973025 is 520379217661.

The square root of 166712973025 is 408305.

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

166712973025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60016670289 + 106696302736 = 244983^2 + 326644^2 .

It is not a de Polignac number, because 166712973025 - 2³ = 166712973017 is a prime.

It is a super-3 number, since 3×166712973025³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166712973025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259273354 + ... + 259273996.

Almost surely, 2^166712973025 is an apocalyptic number.

166712973025 is the 408305-th square number.

166712973025 is the 204153-rd centered octagonal number.

It is an amenable number.

166712973025 is a deficient number, since it is larger than the sum of its proper divisors (41976233906).

166712973025 is an frugal number, since it uses more digits than its factorization.

166712973025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 166712973025 by its sum of digits (49), we get a square (8168935678225 = 2858135²).

The spelling of 166712973025 in words is "one hundred sixty-six billion, seven hundred twelve million, nine hundred seventy-three thousand, twenty-five".