41205313005021 has 18 divisors (see below), whose sum is σ = 65421474919710. Its totient is φ = 24972916972080.

The previous prime is 41205313004963. The next prime is 41205313005023. The reversal of 41205313005021 is 12050031350214.

41205313005021 is a `hidden beast` number, since 4 + 1 + 20 + 5 + 3 + 130 + 0 + 502 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37945735520121 + 3259577484900 = 6160011^2 + 1805430^2 .

It is not a de Polignac number, because 41205313005021 - 2⁹ = 41205313004509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41205313005023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18918875406 + ... + 18918877583.

Almost surely, 2^{41205313005021} is an apocalyptic number.

It is an amenable number.

41205313005021 is a deficient number, since it is larger than the sum of its proper divisors (24216161914689).

41205313005021 is a wasteful number, since it uses less digits than its factorization.

41205313005021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37837753017 (or 37837753003 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 41205313005021 its reverse (12050031350214), we get a palindrome (53255344355235).

The spelling of 41205313005021 in words is "forty-one trillion, two hundred five billion, three hundred thirteen million, five thousand, twenty-one".