523300326025 has 27 divisors (see below), whose sum is σ = 653950095253. Its totient is φ = 415402344800.

The previous prime is 523300326011. The next prime is 523300326097. The reversal of 523300326025 is 520623003325.

The square root of 523300326025 is 723395.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156180668809 + 367119657216 = 395197^2 + 605904^2 .

It is not a de Polignac number, because 523300326025 - 2⁵ = 523300325993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538928790 + ... + 538929760.

Almost surely, 2^523300326025 is an apocalyptic number.

523300326025 is the 723395-th square number.

523300326025 is the 361698-th centered octagonal number.

It is an amenable number.

523300326025 is a deficient number, since it is larger than the sum of its proper divisors (130649769228).

523300326025 is an frugal number, since it uses more digits than its factorization.

523300326025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The spelling of 523300326025 in words is "five hundred twenty-three billion, three hundred million, three hundred twenty-six thousand, twenty-five".