825021606249 has 21 divisors (see below), whose sum is σ = 1237003321639. Its totient is φ = 549998054640.

The previous prime is 825021606179. The next prime is 825021606289. The reversal of 825021606249 is 942606120528.

The square root of 825021606249 is 908307.

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

825021606249 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 2 + 16 + 0 + 624 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 675531116649 + 149490489600 = 821907^2 + 386640^2 .

It is a de Polignac number, because none of the positive numbers 2^k-825021606249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825021606289) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 24507469 + ... + 24541109.

Almost surely, 2^825021606249 is an apocalyptic number.

825021606249 is the 908307-th square number.

825021606249 is the 454154-th centered octagonal number.

It is an amenable number.

825021606249 is a deficient number, since it is larger than the sum of its proper divisors (411981715390).

825021606249 is an frugal number, since it uses more digits than its factorization.

825021606249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67300 (or 33644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 825021606249 in words is "eight hundred twenty-five billion, twenty-one million, six hundred six thousand, two hundred forty-nine".