65075257056 has 48 divisors (see below), whose sum is σ = 170835814800. Its totient is φ = 21690067968.

The previous prime is 65075257043. The next prime is 65075257057.

65075257056 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 65075256996 and 65075257014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65075257057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2141940 + ... + 2172108.

It is an arithmetic number, because the mean of its divisors is an integer number (3559079475).

Almost surely, 2^65075257056 is an apocalyptic number.

It is an amenable number.

65075257056 is an abundant number, since it is smaller than the sum of its proper divisors (105760557744).

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

65075257056 is a wasteful number, since it uses less digits than its factorization.

65075257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52651 (or 52643 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 65075257056 in words is "sixty-five billion, seventy-five million, two hundred fifty-seven thousand, fifty-six".