523003300325 has 18 divisors (see below), whose sum is σ = 712840535442. Its totient is φ = 380366034400.

The previous prime is 523003300319. The next prime is 523003300331.

It is a happy number.

523003300325 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (523003300319) and next prime (523003300331).

It can be written as a sum of positive squares in 3 ways, for example, as 124920540481 + 398082759844 = 353441^2 + 630938^2 .

It is not a de Polignac number, because 523003300325 - 2⁸ = 523003300069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 523003300294 and 523003300303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 86443802 + ... + 86449851.

It is an arithmetic number, because the mean of its divisors is an integer number (39602251969).

Almost surely, 2^523003300325 is an apocalyptic number.

523003300325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523003300325 is a deficient number, since it is larger than the sum of its proper divisors (189837235117).

523003300325 is a wasteful number, since it uses less digits than its factorization.

523003300325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172893685 (or 172893669 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 26.

It can be divided in two parts, 523003 and 300325, that added together give a palindrome (823328).

The spelling of 523003300325 in words is "five hundred twenty-three billion, three million, three hundred thousand, three hundred twenty-five".