825470361 has 27 divisors (see below), whose sum is σ = 1219983453. Its totient is φ = 537844320.

The previous prime is 825470339. The next prime is 825470363. The reversal of 825470361 is 163074528.

The square root of 825470361 is 28731.

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

825470361 is a `hidden beast` number, since 82 + 547 + 0 + 36 + 1 = 666.

825470361 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 439112025 + 386358336 = 20955^2 + 19656^2 .

It is not a de Polignac number, because 825470361 - 2⁵ = 825470329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825470363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5257695 + ... + 5257851.

Almost surely, 2^825470361 is an apocalyptic number.

825470361 is the 28731-st square number.

825470361 is the 14366-th centered octagonal number.

It is an amenable number.

825470361 is a deficient number, since it is larger than the sum of its proper divisors (394513092).

825470361 is an equidigital number, since it uses as much as digits as its factorization.

825470361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 825470361 is about 938.0669347416.

Multiplying 825470361 by its sum of digits (36), we get a square (29716932996 = 172386²).

The spelling of 825470361 in words is "eight hundred twenty-five million, four hundred seventy thousand, three hundred sixty-one".