52142824125 has 48 divisors (see below), whose sum is σ = 107424165888. Its totient is φ = 23836716000.

The previous prime is 52142824103. The next prime is 52142824127.

52142824125 is a `hidden beast` number, since 5 + 214 + 28 + 2 + 412 + 5 = 666.

52142824125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52142824125 - 2¹⁰ = 52142823101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52142824125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52142824127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302781 + ... + 3318530.

It is an arithmetic number, because the mean of its divisors is an integer number (2238003456).

Almost surely, 2^52142824125 is an apocalyptic number.

It is an amenable number.

52142824125 is an abundant number, since it is smaller than the sum of its proper divisors (55281341763).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52142824125 is a wasteful number, since it uses less digits than its factorization.

52142824125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621339 (or 6621326 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 52142824125 in words is "fifty-two billion, one hundred forty-two million, eight hundred twenty-four thousand, one hundred twenty-five".