65541060312 has 512 divisors, whose sum is σ = 214824960000. Its totient is φ = 16203939840.

The previous prime is 65541060293. The next prime is 65541060323. The reversal of 65541060312 is 21306014556.

65541060312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439872814 + ... + 439872962.

It is an arithmetic number, because the mean of its divisors is an integer number (419580000).

Almost surely, 2^65541060312 is an apocalyptic number.

65541060312 is a gapful number since it is divisible by the number (62) 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 65541060312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480000).

65541060312 is an abundant number, since it is smaller than the sum of its proper divisors (149283899688).

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

65541060312 is a wasteful number, since it uses less digits than its factorization.

65541060312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 65541060312 its reverse (21306014556), we get a palindrome (86847074868).

The spelling of 65541060312 in words is "sixty-five billion, five hundred forty-one million, sixty thousand, three hundred twelve".