413481150625 has 75 divisors (see below), whose sum is σ = 555216141931. Its totient is φ = 307828928000.

The previous prime is 413481150617. The next prime is 413481150631. The reversal of 413481150625 is 526051184314.

The square root of 413481150625 is 643025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 37 ways, for example, as 196526415969 + 216954734656 = 443313^2 + 465784^2 .

It is not a de Polignac number, because 413481150625 - 2³ = 413481150617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4645855581 + ... + 4645855669.

Almost surely, 2^413481150625 is an apocalyptic number.

413481150625 is the 643025-th square number.

413481150625 is the 321513-rd centered octagonal number.

It is an amenable number.

413481150625 is a deficient number, since it is larger than the sum of its proper divisors (141734991306).

413481150625 is an frugal number, since it uses more digits than its factorization.

413481150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 413481150625 in words is "four hundred thirteen billion, four hundred eighty-one million, one hundred fifty thousand, six hundred twenty-five".