52561322316525 has 288 divisors, whose sum is σ = 102875708033280. Its totient is φ = 23612224204800.

The previous prime is 52561322316523. The next prime is 52561322316533.

It is a happy number.

52561322316525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52561322316525 - 2¹ = 52561322316523 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52561322316523) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 710798704 + ... + 710872646.

It is an arithmetic number, because the mean of its divisors is an integer number (357207319560).

Almost surely, 2^{52561322316525} is an apocalyptic number.

52561322316525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52561322316525 is a deficient number, since it is larger than the sum of its proper divisors (50314385716755).

52561322316525 is a wasteful number, since it uses less digits than its factorization.

52561322316525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74117 (or 74101 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 52561322316525 in words is "fifty-two trillion, five hundred sixty-one billion, three hundred twenty-two million, three hundred sixteen thousand, five hundred twenty-five".