65513520 has 120 divisors (see below), whose sum is σ = 231644400. Its totient is φ = 16547328.

The previous prime is 65513519. The next prime is 65513527. The reversal of 65513520 is 2531556.

65513520 is a `hidden beast` number, since 655 + 1 + 3 + 5 + 2 + 0 = 666.

65513520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65513527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11286 + ... + 16074.

It is an arithmetic number, because the mean of its divisors is an integer number (1930370).

Almost surely, 2^65513520 is an apocalyptic number.

65513520 is a gapful number since it is divisible by the number (60) 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 65513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115822200).

65513520 is an abundant number, since it is smaller than the sum of its proper divisors (166130880).

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

65513520 is a wasteful number, since it uses less digits than its factorization.

65513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 65513520 is about 8094.0422534108. The cubic root of 65513520 is about 403.1286320206.

The spelling of 65513520 in words is "sixty-five million, five hundred thirteen thousand, five hundred twenty".