4135406013 has 12 divisors (see below), whose sum is σ = 6007894620. Its totient is φ = 2741000256.

The previous prime is 4135405999. The next prime is 4135406021. The reversal of 4135406013 is 3106045314.

4135406013 is a `hidden beast` number, since 4 + 1 + 3 + 54 + 0 + 601 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3974293764 + 161112249 = 63042^2 + 12693^2 .

It is not a de Polignac number, because 4135406013 - 2⁹ = 4135405501 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 (4135406053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326448 + ... + 1329561.

It is an arithmetic number, because the mean of its divisors is an integer number (500657885).

Almost surely, 2^4135406013 is an apocalyptic number.

It is an amenable number.

4135406013 is a deficient number, since it is larger than the sum of its proper divisors (1872488607).

4135406013 is a wasteful number, since it uses less digits than its factorization.

4135406013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656188 (or 2656185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4135406013 is about 64307.1225681884. The cubic root of 4135406013 is about 1605.1146242416.

The spelling of 4135406013 in words is "four billion, one hundred thirty-five million, four hundred six thousand, thirteen".