406117326133 has 2 divisors, whose sum is σ = 406117326134. Its totient is φ = 406117326132.

The previous prime is 406117326119. The next prime is 406117326137. The reversal of 406117326133 is 331623711604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265779429444 + 140337896689 = 515538^2 + 374617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406117326133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406117326092 and 406117326101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406117326137) 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, 203058663066 + 203058663067.

It is an arithmetic number, because the mean of its divisors is an integer number (203058663067).

Almost surely, 2^406117326133 is an apocalyptic number.

It is an amenable number.

406117326133 is a deficient number, since it is larger than the sum of its proper divisors (1).

406117326133 is an equidigital number, since it uses as much as digits as its factorization.

406117326133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 406117326133 in words is "four hundred six billion, one hundred seventeen million, three hundred twenty-six thousand, one hundred thirty-three".