406958512361 has 2 divisors, whose sum is σ = 406958512362. Its totient is φ = 406958512360.

The previous prime is 406958512327. The next prime is 406958512369. The reversal of 406958512361 is 163215859604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333874796761 + 73083715600 = 577819^2 + 270340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406958512361 is a prime.

It is not a weakly prime, because it can be changed into another prime (406958512369) 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, 203479256180 + 203479256181.

It is an arithmetic number, because the mean of its divisors is an integer number (203479256181).

Almost surely, 2^406958512361 is an apocalyptic number.

It is an amenable number.

406958512361 is a deficient number, since it is larger than the sum of its proper divisors (1).

406958512361 is an equidigital number, since it uses as much as digits as its factorization.

406958512361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 406958512361 in words is "four hundred six billion, nine hundred fifty-eight million, five hundred twelve thousand, three hundred sixty-one".