413135021 has 8 divisors (see below), whose sum is σ = 445512984. Its totient is φ = 380842560.

The previous prime is 413134991. The next prime is 413135027. The reversal of 413135021 is 120531314.

It can be written as a sum of positive squares in 4 ways, for example, as 1653796 + 411481225 = 1286^2 + 20285^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413135021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413134984 and 413135002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413135027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11150 + ... + 30831.

It is an arithmetic number, because the mean of its divisors is an integer number (55689123).

Almost surely, 2^413135021 is an apocalyptic number.

It is an amenable number.

413135021 is a deficient number, since it is larger than the sum of its proper divisors (32377963).

413135021 is a wasteful number, since it uses less digits than its factorization.

413135021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 413135021 is about 20325.7231359674. The cubic root of 413135021 is about 744.7845696339.

Adding to 413135021 its reverse (120531314), we get a palindrome (533666335).

The spelling of 413135021 in words is "four hundred thirteen million, one hundred thirty-five thousand, twenty-one".