413240013 has 24 divisors (see below), whose sum is σ = 632825856. Its totient is φ = 259394400.

The previous prime is 413239973. The next prime is 413240021. The reversal of 413240013 is 310042314.

413240013 is a `hidden beast` number, since 413 + 240 + 0 + 13 = 666.

It is not a de Polignac number, because 413240013 - 2²⁸ = 144804557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413242013) 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 23 ways as a sum of consecutive naturals, for example, 9693 + ... + 30338.

It is an arithmetic number, because the mean of its divisors is an integer number (26367744).

Almost surely, 2^413240013 is an apocalyptic number.

It is an amenable number.

413240013 is a deficient number, since it is larger than the sum of its proper divisors (219585843).

413240013 is a wasteful number, since it uses less digits than its factorization.

413240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40105 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413240013 is about 20328.3057090354. The cubic root of 413240013 is about 744.8476561910.

Adding to 413240013 its reverse (310042314), we get a palindrome (723282327).

The spelling of 413240013 in words is "four hundred thirteen million, two hundred forty thousand, thirteen".