413025121340325 has 288 divisors, whose sum is σ = 827959647191040. Its totient is φ = 195500285337600.

The previous prime is 413025121340297. The next prime is 413025121340353. The reversal of 413025121340325 is 523043121520314.

413025121340325 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 512 + 134 + 0 + 3 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (413025121340297) and next prime (413025121340353).

It is not a de Polignac number, because 413025121340325 - 2¹² = 413025121336229 is a prime.

It is a super-2 number, since 2×413025121340325² (a number of 30 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 413025121340325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11197019032 + ... + 11197055918.

It is an arithmetic number, because the mean of its divisors is an integer number (2874859886080).

Almost surely, 2^{413025121340325} is an apocalyptic number.

413025121340325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413025121340325 is an abundant number, since it is smaller than the sum of its proper divisors (414934525850715).

413025121340325 is a wasteful number, since it uses less digits than its factorization.

413025121340325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38309 (or 38301 counting only the distinct ones).

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

Adding to 413025121340325 its reverse (523043121520314), we get a palindrome (936068242860639).

The spelling of 413025121340325 in words is "four hundred thirteen trillion, twenty-five billion, one hundred twenty-one million, three hundred forty thousand, three hundred twenty-five".