52135114752 has 960 divisors, whose sum is σ = 199783584000. Its totient is φ = 13186105344.

The previous prime is 52135114723. The next prime is 52135114753. The reversal of 52135114752 is 25741153125.

52135114752 is a `hidden beast` number, since 52 + 1 + 3 + 511 + 47 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52135114753) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 375072699 + ... + 375072837.

It is an arithmetic number, because the mean of its divisors is an integer number (208107900).

Almost surely, 2^52135114752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52135114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792000).

52135114752 is an abundant number, since it is smaller than the sum of its proper divisors (147648469248).

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

52135114752 is a wasteful number, since it uses less digits than its factorization.

52135114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

Adding to 52135114752 its reverse (25741153125), we get a palindrome (77876267877).

The spelling of 52135114752 in words is "fifty-two billion, one hundred thirty-five million, one hundred fourteen thousand, seven hundred fifty-two".