413263521 has 24 divisors (see below), whose sum is σ = 656604000. Its totient is φ = 250455480.

The previous prime is 413263519. The next prime is 413263537. The reversal of 413263521 is 125362314.

413263521 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 635 + 21 = 666.

It is not a de Polignac number, because 413263521 - 2¹ = 413263519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413263321) 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, 5271 + ... + 29228.

It is an arithmetic number, because the mean of its divisors is an integer number (27358500).

Almost surely, 2^413263521 is an apocalyptic number.

It is an amenable number.

413263521 is a deficient number, since it is larger than the sum of its proper divisors (243340479).

413263521 is a wasteful number, since it uses less digits than its factorization.

413263521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 34513 counting only the distinct ones).

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

The square root of 413263521 is about 20328.8839093542. The cubic root of 413263521 is about 744.8617799820.

The spelling of 413263521 in words is "four hundred thirteen million, two hundred sixty-three thousand, five hundred twenty-one".