123405413 has 2 divisors, whose sum is σ = 123405414. Its totient is φ = 123405412.

The previous prime is 123405407. The next prime is 123405427. The reversal of 123405413 is 314504321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121506529 + 1898884 = 11023^2 + 1378^2 .

It is a cyclic number.

It is not a de Polignac number, because 123405413 - 2⁶ = 123405349 is a prime.

It is a super-3 number, since 3×123405413³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123405463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61702706 + 61702707.

It is an arithmetic number, because the mean of its divisors is an integer number (61702707).

Almost surely, 2^123405413 is an apocalyptic number.

It is an amenable number.

123405413 is a deficient number, since it is larger than the sum of its proper divisors (1).

123405413 is an equidigital number, since it uses as much as digits as its factorization.

123405413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 123405413 is about 11108.7988999711. The cubic root of 123405413 is about 497.8647786393.

Adding to 123405413 its reverse (314504321), we get a palindrome (437909734).

The spelling of 123405413 in words is "one hundred twenty-three million, four hundred five thousand, four hundred thirteen".