166042005525 has 36 divisors (see below), whose sum is σ = 324436020480. Its totient is φ = 80505213600.

The previous prime is 166042005497. The next prime is 166042005529. The reversal of 166042005525 is 525500240661.

166042005525 is a `hidden beast` number, since 1 + 6 + 60 + 42 + 0 + 0 + 552 + 5 = 666.

It is not a de Polignac number, because 166042005525 - 2⁹ = 166042005013 is a prime.

It is a super-3 number, since 3×166042005525³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166042005525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166042005529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33541365 + ... + 33546314.

It is an arithmetic number, because the mean of its divisors is an integer number (9012111680).

Almost surely, 2^166042005525 is an apocalyptic number.

166042005525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166042005525 is a deficient number, since it is larger than the sum of its proper divisors (158394014955).

166042005525 is a wasteful number, since it uses less digits than its factorization.

166042005525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67087706 (or 67087698 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 166042005525 in words is "one hundred sixty-six billion, forty-two million, five thousand, five hundred twenty-five".