200412415052325 has 288 divisors, whose sum is σ = 427660494643200. Its totient is φ = 91138685137920.

The previous prime is 200412415052249. The next prime is 200412415052347. The reversal of 200412415052325 is 523250514214002.

200412415052325 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 1 + 2 + 415 + 0 + 5 + 232 + 5 = 666.

It is not a de Polignac number, because 200412415052325 - 2²⁴ = 200412398275109 is a prime.

It is a super-2 number, since 2×200412415052325² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200412415052325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10254936504 + ... + 10254956046.

Almost surely, 2^{200412415052325} is an apocalyptic number.

200412415052325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200412415052325 is an abundant number, since it is smaller than the sum of its proper divisors (227248079590875).

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

200412415052325 is a wasteful number, since it uses less digits than its factorization.

200412415052325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 200412415052325 its reverse (523250514214002), we get a palindrome (723662929266327).

The spelling of 200412415052325 in words is "two hundred trillion, four hundred twelve billion, four hundred fifteen million, fifty-two thousand, three hundred twenty-five".