165451610100601 has 64 divisors (see below), whose sum is σ = 193765699860480. Its totient is φ = 139690307427840.

The previous prime is 165451610100583. The next prime is 165451610100661. The reversal of 165451610100601 is 106001016154561.

It is a cyclic number.

It is not a de Polignac number, because 165451610100601 - 2²⁵ = 165451576546169 is a prime.

It is a super-3 number, since 3×165451610100601³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (165451610100661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777531275 + ... + 1777624351.

It is an arithmetic number, because the mean of its divisors is an integer number (3027589060320).

Almost surely, 2^{165451610100601} is an apocalyptic number.

165451610100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165451610100601 is a deficient number, since it is larger than the sum of its proper divisors (28314089759879).

165451610100601 is a wasteful number, since it uses less digits than its factorization.

165451610100601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93886.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 165451610100601 in words is "one hundred sixty-five trillion, four hundred fifty-one billion, six hundred ten million, one hundred thousand, six hundred one".