413207416521 has 6 divisors (see below), whose sum is σ = 596855157210. Its totient is φ = 275471611008.

The previous prime is 413207416519. The next prime is 413207416549. The reversal of 413207416521 is 125614702314.

413207416521 is a `hidden beast` number, since 4 + 13 + 207 + 416 + 5 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 279497255625 + 133710160896 = 528675^2 + 365664^2 .

It is not a de Polignac number, because 413207416521 - 2¹ = 413207416519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413207415521) 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 5 ways as a sum of consecutive naturals, for example, 22955967576 + ... + 22955967593.

It is an arithmetic number, because the mean of its divisors is an integer number (99475859535).

Almost surely, 2^413207416521 is an apocalyptic number.

It is an amenable number.

413207416521 is a deficient number, since it is larger than the sum of its proper divisors (183647740689).

413207416521 is a wasteful number, since it uses less digits than its factorization.

413207416521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45911935175 (or 45911935172 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 413207416521 in words is "four hundred thirteen billion, two hundred seven million, four hundred sixteen thousand, five hundred twenty-one".