523504262405325 has 96 divisors (see below), whose sum is σ = 897330835900800. Its totient is φ = 268985622528000.

The previous prime is 523504262405321. The next prime is 523504262405357.

523504262405325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523504262405325 - 2² = 523504262405321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523504262405321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2243110890 + ... + 2243344260.

It is an arithmetic number, because the mean of its divisors is an integer number (9347196207300).

Almost surely, 2^{523504262405325} is an apocalyptic number.

It is an amenable number.

523504262405325 is a deficient number, since it is larger than the sum of its proper divisors (373826573495475).

523504262405325 is a wasteful number, since it uses less digits than its factorization.

523504262405325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235663 (or 235658 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 523504262405325 in words is "five hundred twenty-three trillion, five hundred four billion, two hundred sixty-two million, four hundred five thousand, three hundred twenty-five".