413821865225 has 54 divisors (see below), whose sum is σ = 535053187998. Its totient is φ = 317308656000.

The previous prime is 413821865159. The next prime is 413821865243. The reversal of 413821865225 is 522568128314.

It can be written as a sum of positive squares in 3 ways, for example, as 403728649 + 413418136576 = 20093^2 + 642976^2 .

It is not a de Polignac number, because 413821865225 - 2²⁰ = 413820816649 is a prime.

It is a super-2 number, since 2×413821865225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (921600) is a multiple of the sum of its prime divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 413821865225.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1462267934 + ... + 1462268216.

Almost surely, 2^413821865225 is an apocalyptic number.

It is an amenable number.

413821865225 is a deficient number, since it is larger than the sum of its proper divisors (121231322773).

413821865225 is an frugal number, since it uses more digits than its factorization.

413821865225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 400 counting only the distinct ones).

The product of its digits is 921600, while the sum is 47.

The spelling of 413821865225 in words is "four hundred thirteen billion, eight hundred twenty-one million, eight hundred sixty-five thousand, two hundred twenty-five".