65408125 has 20 divisors (see below), whose sum is σ = 82270540. Its totient is φ = 51984000.

The previous prime is 65408107. The next prime is 65408131. The reversal of 65408125 is 52180456.

It can be written as a sum of positive squares in 10 ways, for example, as 21132409 + 44275716 = 4597^2 + 6654^2 .

It is not a de Polignac number, because 65408125 - 2⁵ = 65408093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142897 + ... + 143353.

It is an arithmetic number, because the mean of its divisors is an integer number (4113527).

Almost surely, 2^65408125 is an apocalyptic number.

It is an amenable number.

65408125 is a deficient number, since it is larger than the sum of its proper divisors (16862415).

65408125 is an equidigital number, since it uses as much as digits as its factorization.

65408125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 65408125 is about 8087.5289798553. The cubic root of 65408125 is about 402.9123380066.

The spelling of 65408125 in words is "sixty-five million, four hundred eight thousand, one hundred twenty-five".