16413435225 has 108 divisors (see below), whose sum is σ = 33429696300. Its totient is φ = 7683244800.

The previous prime is 16413435217. The next prime is 16413435277. The reversal of 16413435225 is 52253431461.

16413435225 is a `hidden beast` number, since 1 + 641 + 3 + 4 + 3 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 128867904 + 16284567321 = 11352^2 + 127611^2 .

It is not a de Polignac number, because 16413435225 - 2³ = 16413435217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16413435225.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 779131 + ... + 799919.

It is an arithmetic number, because the mean of its divisors is an integer number (309534225).

Almost surely, 2^16413435225 is an apocalyptic number.

16413435225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16413435225 is an abundant number, since it is smaller than the sum of its proper divisors (17016261075).

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

16413435225 is a wasteful number, since it uses less digits than its factorization.

16413435225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20856 (or 20837 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 16413435225 its reverse (52253431461), we get a palindrome (68666866686).

The spelling of 16413435225 in words is "sixteen billion, four hundred thirteen million, four hundred thirty-five thousand, two hundred twenty-five".