5142938653125 has 1152 divisors, whose sum is σ = 13136549207040. Its totient is φ = 1928448000000.

The previous prime is 5142938653087. The next prime is 5142938653129. The reversal of 5142938653125 is 5213568392415.

5142938653125 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 9 + 3 + 86 + 531 + 25 = 666.

It is not a de Polignac number, because 5142938653125 - 2⁹ = 5142938652613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142938653129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 125437528105 + ... + 125437528145.

It is an arithmetic number, because the mean of its divisors is an integer number (11403254520).

Almost surely, 2^{5142938653125} is an apocalyptic number.

It is an amenable number.

5142938653125 is an abundant number, since it is smaller than the sum of its proper divisors (7993610553915).

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

5142938653125 is a wasteful number, since it uses less digits than its factorization.

5142938653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 5142938653125 in words is "five trillion, one hundred forty-two billion, nine hundred thirty-eight million, six hundred fifty-three thousand, one hundred twenty-five".