413034413125 has 10 divisors (see below), whose sum is σ = 516127803422. Its totient is φ = 330427530000.

The previous prime is 413034413123. The next prime is 413034413177. The reversal of 413034413125 is 521314430314.

It can be written as a sum of positive squares in 5 ways, for example, as 88336161796 + 324698251329 = 297214^2 + 569823^2 .

It is not a de Polignac number, because 413034413125 - 2¹ = 413034413123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413034413123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330426906 + ... + 330428155.

Almost surely, 2^413034413125 is an apocalyptic number.

It is an amenable number.

413034413125 is a deficient number, since it is larger than the sum of its proper divisors (103093390297).

413034413125 is an frugal number, since it uses more digits than its factorization.

413034413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660855081 (or 660855066 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 413034413125 its reverse (521314430314), we get a palindrome (934348843439).

The spelling of 413034413125 in words is "four hundred thirteen billion, thirty-four million, four hundred thirteen thousand, one hundred twenty-five".