65252433425256 has 256 divisors, whose sum is σ = 226653043968000. Its totient is φ = 16898389724160.

The previous prime is 65252433425227. The next prime is 65252433425269.

65252433425256 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 2 + 4 + 334 + 252 + 56 = 666.

65252433425256 is nontrivially palindromic in base 10.

65252433425256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 215946 + ... + 11425913.

It is an arithmetic number, because the mean of its divisors is an integer number (885363453000).

Almost surely, 2^{65252433425256} is an apocalyptic number.

65252433425256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65252433425256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113326521984000).

65252433425256 is an abundant number, since it is smaller than the sum of its proper divisors (161400610542744).

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

65252433425256 is a wasteful number, since it uses less digits than its factorization.

65252433425256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642229 (or 11642219 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 65252433425256 in words is "sixty-five trillion, two hundred fifty-two billion, four hundred thirty-three million, four hundred twenty-five thousand, two hundred fifty-six".