20413332225 has 216 divisors, whose sum is σ = 43699479096. Its totient is φ = 9047808000.

The previous prime is 20413332223. The next prime is 20413332227. The reversal of 20413332225 is 52223331402.

20413332225 is a `hidden beast` number, since 20 + 413 + 3 + 3 + 2 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (20413332223) and next prime (20413332227).

It can be written as a sum of positive squares in 12 ways, for example, as 15256943361 + 5156388864 = 123519^2 + 71808^2 .

It is not a de Polignac number, because 20413332225 - 2¹ = 20413332223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20413332223) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 48487515 + ... + 48487935.

Almost surely, 2^20413332225 is an apocalyptic number.

20413332225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20413332225 is an abundant number, since it is smaller than the sum of its proper divisors (23286146871).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20413332225 is a wasteful number, since it uses less digits than its factorization.

20413332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20413332225 its reverse (52223331402), we get a palindrome (72636663627).

The spelling of 20413332225 in words is "twenty billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-five".