406017556118101 has 2 divisors, whose sum is σ = 406017556118102. Its totient is φ = 406017556118100.

The previous prime is 406017556118059. The next prime is 406017556118177. The reversal of 406017556118101 is 101811655710604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404039949555025 + 1977606563076 = 20100745^2 + 1406274^2 .

It is a cyclic number.

It is not a de Polignac number, because 406017556118101 - 2²⁵ = 406017522563669 is a prime.

It is a super-2 number, since 2×406017556118101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406017556118501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203008778059050 + 203008778059051.

It is an arithmetic number, because the mean of its divisors is an integer number (203008778059051).

Almost surely, 2^{406017556118101} is an apocalyptic number.

It is an amenable number.

406017556118101 is a deficient number, since it is larger than the sum of its proper divisors (1).

406017556118101 is an equidigital number, since it uses as much as digits as its factorization.

406017556118101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 46.

The spelling of 406017556118101 in words is "four hundred six trillion, seventeen billion, five hundred fifty-six million, one hundred eighteen thousand, one hundred one".