52382170434312 has 560 divisors, whose sum is σ = 159324302961180. Its totient is φ = 16138281006720.

The previous prime is 52382170434289. The next prime is 52382170434317. The reversal of 52382170434312 is 21343407128325.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

52382170434312 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 2 + 170 + 43 + 431 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5563814783076 + 46818355651236 = 2358774^2 + 6842394^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 52382170434312 = 4674³ + 37392³ = 21033³ + 35055³.

It is not an unprimeable number, because it can be changed into a prime (52382170434317) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1277613913012 + ... + 1277613913052.

Almost surely, 2^{52382170434312} 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 52382170434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662151480590).

52382170434312 is an abundant number, since it is smaller than the sum of its proper divisors (106942132526868).

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

52382170434312 is an frugal number, since it uses more digits than its factorization.

52382170434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 52382170434312 in words is "fifty-two trillion, three hundred eighty-two billion, one hundred seventy million, four hundred thirty-four thousand, three hundred twelve".