11225413305 has 24 divisors (see below), whose sum is σ = 19723928328. Its totient is φ = 5904873216.

The previous prime is 11225413273. The next prime is 11225413319. The reversal of 11225413305 is 50331452211.

11225413305 is a `hidden beast` number, since 112 + 2 + 541 + 3 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303491241 + 10921922064 = 17421^2 + 104508^2 .

It is not a de Polignac number, because 11225413305 - 2⁵ = 11225413273 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705302 + ... + 1711871.

It is an arithmetic number, because the mean of its divisors is an integer number (821830347).

Almost surely, 2^11225413305 is an apocalyptic number.

11225413305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11225413305 is a deficient number, since it is larger than the sum of its proper divisors (8498515023).

11225413305 is a wasteful number, since it uses less digits than its factorization.

11225413305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417257 (or 3417254 counting only the distinct ones).

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

Adding to 11225413305 its reverse (50331452211), we get a palindrome (61556865516).

The spelling of 11225413305 in words is "eleven billion, two hundred twenty-five million, four hundred thirteen thousand, three hundred five".