825585361 has 4 divisors (see below), whose sum is σ = 825662052. Its totient is φ = 825508672.

The previous prime is 825585353. The next prime is 825585377. The reversal of 825585361 is 163585528.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 801965761 = 4860^2 + 28319^2 .

It is a cyclic number.

It is not a de Polignac number, because 825585361 - 2³ = 825585353 is a prime.

It is a super-3 number, since 3×825585361³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825585301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18916 + ... + 44821.

It is an arithmetic number, because the mean of its divisors is an integer number (206415513).

Almost surely, 2^825585361 is an apocalyptic number.

It is an amenable number.

825585361 is a deficient number, since it is larger than the sum of its proper divisors (76691).

825585361 is a wasteful number, since it uses less digits than its factorization.

825585361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76690.

The product of its digits is 288000, while the sum is 43.

The square root of 825585361 is about 28733.0012529147. The cubic root of 825585361 is about 938.1104948310.

The spelling of 825585361 in words is "eight hundred twenty-five million, five hundred eighty-five thousand, three hundred sixty-one".