41288013 has 48 divisors (see below), whose sum is σ = 68315520. Its totient is φ = 23836032.

The previous prime is 41288011. The next prime is 41288021. The reversal of 41288013 is 31088214.

It is not a de Polignac number, because 41288013 - 2¹ = 41288011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41288011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180183 + ... + 180411.

It is an arithmetic number, because the mean of its divisors is an integer number (1423240).

Almost surely, 2^41288013 is an apocalyptic number.

It is an amenable number.

41288013 is a deficient number, since it is larger than the sum of its proper divisors (27027507).

41288013 is a wasteful number, since it uses less digits than its factorization.

41288013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 41288013 is about 6425.5749159122. The cubic root of 41288013 is about 345.6272646395.

The spelling of 41288013 in words is "forty-one million, two hundred eighty-eight thousand, thirteen".