413525313 has 6 divisors (see below), whose sum is σ = 597314354. Its totient is φ = 275683536.

The previous prime is 413525309. The next prime is 413525351. The reversal of 413525313 is 313525314.

It can be written as a sum of positive squares in only one way, i.e., 356190129 + 57335184 = 18873^2 + 7572^2 .

It is not a de Polignac number, because 413525313 - 2² = 413525309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413525113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22973620 + ... + 22973637.

Almost surely, 2^413525313 is an apocalyptic number.

It is an amenable number.

413525313 is a deficient number, since it is larger than the sum of its proper divisors (183789041).

413525313 is a wasteful number, since it uses less digits than its factorization.

413525313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45947263 (or 45947260 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 413525313 is about 20335.3218071414. The cubic root of 413525313 is about 745.0190304885.

Subtracting from 413525313 its reverse (313525314), we obtain a palindrome (99999999).

It can be divided in two parts, 41352 and 5313, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 413525313 in words is "four hundred thirteen million, five hundred twenty-five thousand, three hundred thirteen".