475513680625 has 15 divisors (see below), whose sum is σ = 594223438413. Its totient is φ = 380397153000.

The previous prime is 475513680583. The next prime is 475513680683. The reversal of 475513680625 is 526086315574.

The square root of 475513680625 is 689575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 37280272561 + 438233408064 = 193081^2 + 661992^2 .

It is not a de Polignac number, because 475513680625 - 2¹⁵ = 475513647857 is a prime.

It is a super-2 number, since 2×475513680625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17225584 + ... + 17253166.

Almost surely, 2^475513680625 is an apocalyptic number.

475513680625 is the 689575-th square number.

475513680625 is the 344788-th centered octagonal number.

It is an amenable number.

475513680625 is a deficient number, since it is larger than the sum of its proper divisors (118709757788).

475513680625 is an frugal number, since it uses more digits than its factorization.

475513680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55186 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 475513680625 in words is "four hundred seventy-five billion, five hundred thirteen million, six hundred eighty thousand, six hundred twenty-five".