413525545525314 has 64 divisors (see below), whose sum is σ = 933132558758400. Its totient is φ = 135715892449104.

The previous prime is 413525545525283. The next prime is 413525545525333.

It is a happy number.

413525545525314 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 2 + 5 + 54 + 5 + 52 + 531 + 4 = 666.

413525545525314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21717372 + ... + 36037415.

It is an arithmetic number, because the mean of its divisors is an integer number (14580196230600).

Almost surely, 2^{413525545525314} is an apocalyptic number.

413525545525314 is an abundant number, since it is smaller than the sum of its proper divisors (519607013233086).

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

413525545525314 is a wasteful number, since it uses less digits than its factorization.

413525545525314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57756844 (or 57756838 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 413525545525314 in words is "four hundred thirteen trillion, five hundred twenty-five billion, five hundred forty-five million, five hundred twenty-five thousand, three hundred fourteen".