166416525 has 120 divisors (see below), whose sum is σ = 348572928. Its totient is φ = 77760000.

The previous prime is 166416511. The next prime is 166416527. The reversal of 166416525 is 525614661.

166416525 is a `hidden beast` number, since 1 + 6 + 641 + 6 + 5 + 2 + 5 = 666.

166416525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166416525 - 2¹⁴ = 166400141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166416525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166416527) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 690405 + ... + 690645.

Almost surely, 2^166416525 is an apocalyptic number.

166416525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166416525 is an abundant number, since it is smaller than the sum of its proper divisors (182156403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166416525 is a wasteful number, since it uses less digits than its factorization.

166416525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166416525 is about 12900.2529044976. The cubic root of 166416525 is about 550.0457537695.

The spelling of 166416525 in words is "one hundred sixty-six million, four hundred sixteen thousand, five hundred twenty-five".