166753806025 has 9 divisors (see below), whose sum is σ = 206777251303. Its totient is φ = 133401411400.

The previous prime is 166753806013. The next prime is 166753806053. The reversal of 166753806025 is 520608357661.

The square root of 166753806025 is 408355.

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

166753806025 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., 60031370169 + 106722435856 = 245013^2 + 326684^2 .

It is not a de Polignac number, because 166753806025 - 2⁹ = 166753805513 is a prime.

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 166753806025.

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 8 ways as a sum of consecutive naturals, for example, 2000940 + ... + 2082610.

Almost surely, 2^166753806025 is an apocalyptic number.

166753806025 is the 408355-th square number.

166753806025 is the 204178-th centered octagonal number.

It is an amenable number.

166753806025 is a deficient number, since it is larger than the sum of its proper divisors (40023445278).

166753806025 is an frugal number, since it uses more digits than its factorization.

166753806025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163352 (or 81676 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 166753806025 by its sum of digits (49), we get a square (8170936495225 = 2858485²).

The spelling of 166753806025 in words is "one hundred sixty-six billion, seven hundred fifty-three million, eight hundred six thousand, twenty-five".