65201069025 has 81 divisors (see below), whose sum is σ = 121154594041. Its totient is φ = 33517606080.

The previous prime is 65201069023. The next prime is 65201069071. The reversal of 65201069025 is 52096010256.

The square root of 65201069025 is 255345.

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

65201069025 is a `hidden beast` number, since 6 + 520 + 106 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 896223969 + 64304845056 = 29937^2 + 253584^2 .

It is not a de Polignac number, because 65201069025 - 2¹ = 65201069023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65201069023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111074782 + ... + 111075368.

Almost surely, 2^65201069025 is an apocalyptic number.

65201069025 is the 255345-th square number.

65201069025 is the 127673-rd centered octagonal number.

It is an amenable number.

65201069025 is a deficient number, since it is larger than the sum of its proper divisors (55953525016).

65201069025 is an equidigital number, since it uses as much as digits as its factorization.

65201069025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 65201069025 by its sum of digits (36), we get a square (2347238484900 = 1532070²).

The spelling of 65201069025 in words is "sixty-five billion, two hundred one million, sixty-nine thousand, twenty-five".