65057512 has 32 divisors (see below), whose sum is σ = 132741000. Its totient is φ = 29712384.

The previous prime is 65057497. The next prime is 65057533. The reversal of 65057512 is 21575056.

65057512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59074596 + 5982916 = 7686^2 + 2446^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6864 + ... + 13312.

Almost surely, 2^65057512 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 65057512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66370500).

65057512 is an abundant number, since it is smaller than the sum of its proper divisors (67683488).

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

65057512 is a wasteful number, since it uses less digits than its factorization.

65057512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 65057512 is about 8065.8237025117. The cubic root of 65057512 is about 402.1911255066.

The spelling of 65057512 in words is "sixty-five million, fifty-seven thousand, five hundred twelve".