406735537601 has 2 divisors, whose sum is σ = 406735537602. Its totient is φ = 406735537600.

The previous prime is 406735537493. The next prime is 406735537609. The reversal of 406735537601 is 106735537604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385162978225 + 21572559376 = 620615^2 + 146876^2 .

It is a cyclic number.

It is not a de Polignac number, because 406735537601 - 2²⁶ = 406668428737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (406735537609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203367768800 + 203367768801.

It is an arithmetic number, because the mean of its divisors is an integer number (203367768801).

Almost surely, 2^406735537601 is an apocalyptic number.

It is an amenable number.

406735537601 is a deficient number, since it is larger than the sum of its proper divisors (1).

406735537601 is an equidigital number, since it uses as much as digits as its factorization.

406735537601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 406735537601 in words is "four hundred six billion, seven hundred thirty-five million, five hundred thirty-seven thousand, six hundred one".