406756657561 has 2 divisors, whose sum is σ = 406756657562. Its totient is φ = 406756657560.

The previous prime is 406756657501. The next prime is 406756657613. The reversal of 406756657561 is 165756657604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404801337600 + 1955319961 = 636240^2 + 44219^2 .

It is a cyclic number.

It is not a de Polignac number, because 406756657561 - 2²¹ = 406754560409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406756657496 and 406756657505.

It is not a weakly prime, because it can be changed into another prime (406756657501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203378328780 + 203378328781.

It is an arithmetic number, because the mean of its divisors is an integer number (203378328781).

Almost surely, 2^406756657561 is an apocalyptic number.

It is an amenable number.

406756657561 is a deficient number, since it is larger than the sum of its proper divisors (1).

406756657561 is an equidigital number, since it uses as much as digits as its factorization.

406756657561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752000, while the sum is 58.

The spelling of 406756657561 in words is "four hundred six billion, seven hundred fifty-six million, six hundred fifty-seven thousand, five hundred sixty-one".