413617052565 has 80 divisors (see below), whose sum is σ = 767534169600. Its totient is φ = 212844578688.

The previous prime is 413617052521. The next prime is 413617052567. The reversal of 413617052565 is 565250716314.

413617052565 is a `hidden beast` number, since 4 + 1 + 3 + 61 + 7 + 0 + 525 + 65 = 666.

It is not a de Polignac number, because 413617052565 - 2²⁶ = 413549943701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 413617052565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413617052567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18534204 + ... + 18556506.

It is an arithmetic number, because the mean of its divisors is an integer number (9594177120).

Almost surely, 2^413617052565 is an apocalyptic number.

413617052565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413617052565 is a deficient number, since it is larger than the sum of its proper divisors (353917117035).

413617052565 is a wasteful number, since it uses less digits than its factorization.

413617052565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

Adding to 413617052565 its reverse (565250716314), we get a palindrome (978867768879).

The spelling of 413617052565 in words is "four hundred thirteen billion, six hundred seventeen million, fifty-two thousand, five hundred sixty-five".