413313228050 has 162 divisors, whose sum is σ = 829875675573. Its totient is φ = 153136690080.

The previous prime is 413313228047. The next prime is 413313228089. The reversal of 413313228050 is 50822313314.

It can be written as a sum of positive squares in 2 ways, for example, as 405046963489 + 8266264561 = 636433^2 + 90919^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454595.

It is a super-2 number, since 2×413313228050² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413313227998 and 413313228016.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6168854117 + ... + 6168854183.

Almost surely, 2^413313228050 is an apocalyptic number.

413313228050 is an abundant number, since it is smaller than the sum of its proper divisors (416562447523).

413313228050 is an equidigital number, since it uses as much as digits as its factorization.

413313228050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 413313228050 by its sum of digits (32), we get a square (13226023297600 = 3636760²).

The spelling of 413313228050 in words is "four hundred thirteen billion, three hundred thirteen million, two hundred twenty-eight thousand, fifty".