65357442516025 has 27 divisors (see below), whose sum is σ = 89081179756653. Its totient is φ = 47532362090400.

The previous prime is 65357442515999. The next prime is 65357442516043. The reversal of 65357442516025 is 52061524475356.

The square root of 65357442516025 is 8084395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9608282676729 + 55749159839296 = 3099723^2 + 7466536^2 .

It is a de Polignac number, because none of the positive numbers 2^k-65357442516025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444568231 + ... + 444715219.

Almost surely, 2^{65357442516025} is an apocalyptic number.

65357442516025 is the 8084395-th square number.

65357442516025 is the 4042198-th centered octagonal number.

It is an amenable number.

65357442516025 is a deficient number, since it is larger than the sum of its proper divisors (23723737240628).

65357442516025 is an frugal number, since it uses more digits than its factorization.

65357442516025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294010 (or 147005 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 55.

The spelling of 65357442516025 in words is "sixty-five trillion, three hundred fifty-seven billion, four hundred forty-two million, five hundred sixteen thousand, twenty-five".