52251722605152 has 384 divisors, whose sum is σ = 175396233600000. Its totient is φ = 14824227557376.

The previous prime is 52251722605141. The next prime is 52251722605169. The reversal of 52251722605152 is 25150622715225.

52251722605152 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 1 + 7 + 22 + 605 + 15 + 2 = 666.

52251722605152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52251722605098 and 52251722605107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3729861124 + ... + 3729875132.

It is an arithmetic number, because the mean of its divisors is an integer number (456761025000).

Almost surely, 2^{52251722605152} 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 52251722605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87698116800000).

52251722605152 is an abundant number, since it is smaller than the sum of its proper divisors (123144510994848).

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

52251722605152 is a wasteful number, since it uses less digits than its factorization.

52251722605152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323 (or 18309 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 52251722605152 in words is "fifty-two trillion, two hundred fifty-one billion, seven hundred twenty-two million, six hundred five thousand, one hundred fifty-two".