65562500 has 42 divisors (see below), whose sum is σ = 143552850. Its totient is φ = 26200000.

The previous prime is 65562493. The next prime is 65562503. The reversal of 65562500 is 526556.

65562500 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 7 ways, for example, as 62853184 + 2709316 = 7928^2 + 1646^2 .

It is a sliding number, since 65562500 = 1562500 + 64000000 and 1/1562500 + 1/64000000 = 0.00000065562500.

It is not an unprimeable number, because it can be changed into a prime (65562503) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 61976 + ... + 63024.

It is an arithmetic number, because the mean of its divisors is an integer number (3417925).

Almost surely, 2^65562500 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 65562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71776425).

65562500 is an abundant number, since it is smaller than the sum of its proper divisors (77990350).

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

65562500 is an equidigital number, since it uses as much as digits as its factorization.

65562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 65562500 is about 8097.0673703508. The cubic root of 65562500 is about 403.2290709413.

The spelling of 65562500 in words is "sixty-five million, five hundred sixty-two thousand, five hundred".