505406166001 has 32 divisors (see below), whose sum is σ = 562536931968. Its totient is φ = 450228119040.

The previous prime is 505406165993. The next prime is 505406166077. The reversal of 505406166001 is 100661604505.

It is a happy number.

It is not a de Polignac number, because 505406166001 - 2³ = 505406165993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505406166401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138731686 + ... + 138735328.

It is an arithmetic number, because the mean of its divisors is an integer number (17579279124).

Almost surely, 2^505406166001 is an apocalyptic number.

It is an amenable number.

505406166001 is a deficient number, since it is larger than the sum of its proper divisors (57130765967).

505406166001 is a wasteful number, since it uses less digits than its factorization.

505406166001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 505406166001 in words is "five hundred five billion, four hundred six million, one hundred sixty-six thousand, one".