10823281225 has 9 divisors (see below), whose sum is σ = 13421513767. Its totient is φ = 8658208840.

The previous prime is 10823281223. The next prime is 10823281241. The reversal of 10823281225 is 52218232801.

The square root of 10823281225 is 104035.

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

It can be written as a sum of positive squares in only one way, i.e., 3896381241 + 6926899984 = 62421^2 + 83228^2 .

It is not a de Polignac number, because 10823281225 - 2¹ = 10823281223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10823281223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 509772 + ... + 530578.

Almost surely, 2^10823281225 is an apocalyptic number.

10823281225 is the 104035-th square number.

10823281225 is the 52018-th centered octagonal number.

It is an amenable number.

10823281225 is a deficient number, since it is larger than the sum of its proper divisors (2598232542).

10823281225 is an frugal number, since it uses more digits than its factorization.

10823281225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41624 (or 20812 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 10823281225 in words is "ten billion, eight hundred twenty-three million, two hundred eighty-one thousand, two hundred twenty-five".