523358199225 has 81 divisors (see below), whose sum is σ = 996128125447. Its totient is φ = 262612692480.

The previous prime is 523358199223. The next prime is 523358199233. The reversal of 523358199225 is 522991853325.

The square root of 523358199225 is 723435.

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

523358199225 is a `hidden beast` number, since 5 + 2 + 33 + 581 + 9 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 465261774201 + 58096425024 = 682101^2 + 241032^2 .

It is not a de Polignac number, because 523358199225 - 2¹ = 523358199223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (523358199223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184474507 + ... + 184477343.

Almost surely, 2^523358199225 is an apocalyptic number.

523358199225 is the 723435-th square number.

523358199225 is the 361718-th centered octagonal number.

It is an amenable number.

523358199225 is a deficient number, since it is larger than the sum of its proper divisors (472769926222).

523358199225 is an equidigital number, since it uses as much as digits as its factorization.

523358199225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 2862 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 523358199225 in words is "five hundred twenty-three billion, three hundred fifty-eight million, one hundred ninety-nine thousand, two hundred twenty-five".