65513448 has 320 divisors, whose sum is σ = 248814720. Its totient is φ = 15552000.

The previous prime is 65513429. The next prime is 65513473. The reversal of 65513448 is 84431556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648598 + ... + 648698.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 2^65513448 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 65513448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

65513448 is an abundant number, since it is smaller than the sum of its proper divisors (183301272).

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

65513448 is a wasteful number, since it uses less digits than its factorization.

65513448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 65513448 is about 8094.0378056938. The cubic root of 65513448 is about 403.1284843398.

It can be divided in two parts, 6551 and 3448, that added together give a palindrome (9999).

The spelling of 65513448 in words is "sixty-five million, five hundred thirteen thousand, four hundred forty-eight".