65268125 has 40 divisors (see below), whose sum is σ = 91189560. Its totient is φ = 46368000.

The previous prime is 65268107. The next prime is 65268127. The reversal of 65268125 is 52186256.

It can be written as a sum of positive squares in 20 ways, for example, as 61183684 + 4084441 = 7822^2 + 2021^2 .

It is not a de Polignac number, because 65268125 - 2¹⁰ = 65267101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65268127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 235487 + ... + 235763.

It is an arithmetic number, because the mean of its divisors is an integer number (2279739).

Almost surely, 2^65268125 is an apocalyptic number.

65268125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65268125 is a deficient number, since it is larger than the sum of its proper divisors (25921435).

65268125 is a wasteful number, since it uses less digits than its factorization.

65268125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 65268125 is about 8078.8690421370. The cubic root of 65268125 is about 402.6246672195.

The spelling of 65268125 in words is "sixty-five million, two hundred sixty-eight thousand, one hundred twenty-five".