52142424125 has 128 divisors (see below), whose sum is σ = 75476344320. Its totient is φ = 35912800000.

The previous prime is 52142424101. The next prime is 52142424133.

52142424125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52142424125 - 2²⁰ = 52141375549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52142424091 and 52142424100.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 487312322 + ... + 487312428.

It is an arithmetic number, because the mean of its divisors is an integer number (589658940).

Almost surely, 2^52142424125 is an apocalyptic number.

52142424125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52142424125 is a deficient number, since it is larger than the sum of its proper divisors (23333920195).

52142424125 is a wasteful number, since it uses less digits than its factorization.

52142424125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 253 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The spelling of 52142424125 in words is "fifty-two billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred twenty-five".