52135653125 has 24 divisors (see below), whose sum is σ = 68998724424. Its totient is φ = 39255040000.

The previous prime is 52135653109. The next prime is 52135653127.

52135653125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 49569014881 + 2566638244 = 222641^2 + 50662^2 .

It is not a de Polignac number, because 52135653125 - 2⁴ = 52135653109 is a prime.

It is a super-3 number, since 3×52135653125³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52135653127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437564 + ... + 543813.

It is an arithmetic number, because the mean of its divisors is an integer number (2874946851).

Almost surely, 2^52135653125 is an apocalyptic number.

It is an amenable number.

52135653125 is a deficient number, since it is larger than the sum of its proper divisors (16863071299).

52135653125 is an frugal number, since it uses more digits than its factorization.

52135653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981419 (or 981399 counting only the distinct ones).

The product of its digits is 135000, while the sum is 38.

The spelling of 52135653125 in words is "fifty-two billion, one hundred thirty-five million, six hundred fifty-three thousand, one hundred twenty-five".