65461625 has 32 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 49920000.

The previous prime is 65461619. The next prime is 65461639. The reversal of 65461625 is 52616456.

It can be written as a sum of positive squares in 16 ways, for example, as 48330304 + 17131321 = 6952^2 + 4139^2 .

It is not a de Polignac number, because 65461625 - 2¹⁰ = 65460601 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271505 + ... + 271745.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 2^65461625 is an apocalyptic number.

It is an amenable number.

65461625 is a deficient number, since it is larger than the sum of its proper divisors (20159911).

65461625 is a wasteful number, since it uses less digits than its factorization.

65461625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 65461625 is about 8090.8358653479. The cubic root of 65461625 is about 403.0221609357.

The spelling of 65461625 in words is "sixty-five million, four hundred sixty-one thousand, six hundred twenty-five".