65513238336 has 1008 divisors, whose sum is σ = 250430019840. Its totient is φ = 16202833920.

The previous prime is 65513238319. The next prime is 65513238367. The reversal of 65513238336 is 63383231556.

65513238336 is a `hidden beast` number, since 6 + 5 + 513 + 23 + 83 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 65513238291 and 65513238300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 500100991 + ... + 500101121.

It is an arithmetic number, because the mean of its divisors is an integer number (248442480).

Almost surely, 2^65513238336 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 65513238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215009920).

65513238336 is an abundant number, since it is smaller than the sum of its proper divisors (184916781504).

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

65513238336 is a wasteful number, since it uses less digits than its factorization.

65513238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 65513238336 in words is "sixty-five billion, five hundred thirteen million, two hundred thirty-eight thousand, three hundred thirty-six".