413124608457727 has 2 divisors, whose sum is σ = 413124608457728. Its totient is φ = 413124608457726.

The previous prime is 413124608457719. The next prime is 413124608457817. The reversal of 413124608457727 is 727754806421314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413124608457727 - 2³ = 413124608457719 is a prime.

It is a super-2 number, since 2×413124608457727² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413124609457727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206562304228863 + 206562304228864.

It is an arithmetic number, because the mean of its divisors is an integer number (206562304228864).

Almost surely, 2^{413124608457727} is an apocalyptic number.

413124608457727 is a deficient number, since it is larger than the sum of its proper divisors (1).

413124608457727 is an equidigital number, since it uses as much as digits as its factorization.

413124608457727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63221760, while the sum is 61.

The spelling of 413124608457727 in words is "four hundred thirteen trillion, one hundred twenty-four billion, six hundred eight million, four hundred fifty-seven thousand, seven hundred twenty-seven".