405014013 has 20 divisors (see below), whose sum is σ = 636866560. Its totient is φ = 255797352.

The previous prime is 405014009. The next prime is 405014017. The reversal of 405014013 is 310410504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405014009) and next prime (405014017).

It is not a de Polignac number, because 405014013 - 2² = 405014009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405014017) 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 in 19 ways as a sum of consecutive naturals, for example, 130045 + ... + 133122.

It is an arithmetic number, because the mean of its divisors is an integer number (31843328).

Almost surely, 2^405014013 is an apocalyptic number.

It is an amenable number.

405014013 is a deficient number, since it is larger than the sum of its proper divisors (231852547).

405014013 is a wasteful number, since it uses less digits than its factorization.

405014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263198 (or 263189 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 405014013 is about 20124.9599502707. The cubic root of 405014013 is about 739.8721552945.

Adding to 405014013 its reverse (310410504), we get a palindrome (715424517).

The spelling of 405014013 in words is "four hundred five million, fourteen thousand, thirteen".