66165506001 has 18 divisors (see below), whose sum is σ = 111176055042. Its totient is φ = 37808860320.

The previous prime is 66165505999. The next prime is 66165506041. The reversal of 66165506001 is 10060556166.

It can be written as a sum of positive squares in only one way, i.e., 56910873600 + 9254632401 = 238560^2 + 96201^2 .

It is not a de Polignac number, because 66165506001 - 2¹ = 66165505999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66165506041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75017140 + ... + 75018021.

Almost surely, 2^66165506001 is an apocalyptic number.

It is an amenable number.

66165506001 is a deficient number, since it is larger than the sum of its proper divisors (45010549041).

66165506001 is a wasteful number, since it uses less digits than its factorization.

66165506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150035181 (or 150035171 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 66165506001 in words is "sixty-six billion, one hundred sixty-five million, five hundred six thousand, one".