523253303352325 has 72 divisors (see below), whose sum is σ = 812834156737512. Its totient is φ = 331198413396480.

The previous prime is 523253303352319. The next prime is 523253303352407.

523253303352325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 176734743282244 + 346518560070081 = 13294162^2 + 18615009^2 .

It is not a de Polignac number, because 523253303352325 - 2⁵ = 523253303352293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2579063787 + ... + 2579266663.

It is an arithmetic number, because the mean of its divisors is an integer number (11289363288021).

Almost surely, 2^{523253303352325} is an apocalyptic number.

It is an amenable number.

523253303352325 is a deficient number, since it is larger than the sum of its proper divisors (289580853385187).

523253303352325 is a wasteful number, since it uses less digits than its factorization.

523253303352325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364871 (or 364859 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 46.

It can be divided in two parts, 52325330 and 3352325, that added together give a palindrome (55677655).

The spelling of 523253303352325 in words is "five hundred twenty-three trillion, two hundred fifty-three billion, three hundred three million, three hundred fifty-two thousand, three hundred twenty-five".