523325523325 has 72 divisors (see below), whose sum is σ = 724578889608. Its totient is φ = 374616000000.

The previous prime is 523325523323. The next prime is 523325523359.

523325523325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 42939299524 + 480386223801 = 207218^2 + 693099^2 .

It is not a de Polignac number, because 523325523325 - 2¹ = 523325523323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523325523323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52850875 + ... + 52860775.

It is an arithmetic number, because the mean of its divisors is an integer number (10063595689).

Almost surely, 2^523325523325 is an apocalyptic number.

523325523325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523325523325 is a deficient number, since it is larger than the sum of its proper divisors (201253366283).

523325523325 is a wasteful number, since it uses less digits than its factorization.

523325523325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10191 counting only the distinct ones).

The product of its digits is 810000, while the sum is 40.

The spelling of 523325523325 in words is "five hundred twenty-three billion, three hundred twenty-five million, five hundred twenty-three thousand, three hundred twenty-five".