13035105225 has 60 divisors (see below), whose sum is σ = 24199411456. Its totient is φ = 6936541920.

The previous prime is 13035105221. The next prime is 13035105229. The reversal of 13035105225 is 52250153031.

It is a happy number.

13035105225 is a `hidden beast` number, since 130 + 3 + 5 + 1 + 0 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13035105221) and next prime (13035105229).

It is not a de Polignac number, because 13035105225 - 2² = 13035105221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13035105221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 930624 + ... + 944526.

Almost surely, 2^13035105225 is an apocalyptic number.

13035105225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13035105225 is a deficient number, since it is larger than the sum of its proper divisors (11164306231).

13035105225 is a wasteful number, since it uses less digits than its factorization.

13035105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14374 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 13035105225 its reverse (52250153031), we get a palindrome (65285258256).

The spelling of 13035105225 in words is "thirteen billion, thirty-five million, one hundred five thousand, two hundred twenty-five".