65943672025 has 243 divisors, whose sum is σ = 113196103293. Its totient is φ = 37964572800.

The previous prime is 65943672019. The next prime is 65943672097. The reversal of 65943672025 is 52027634956.

The square root of 65943672025 is 256795.

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 906431449 + 65037240576 = 30107^2 + 255024^2 .

It is not a de Polignac number, because 65943672025 - 2³ = 65943672017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 65943672025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2273919711 + ... + 2273919739.

Almost surely, 2^65943672025 is an apocalyptic number.

65943672025 is the 256795-th square number.

65943672025 is the 128398-th centered octagonal number.

It is an amenable number.

65943672025 is a deficient number, since it is larger than the sum of its proper divisors (47252431268).

65943672025 is a wasteful number, since it uses less digits than its factorization.

65943672025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 65943672025 by its sum of digits (49), we get a square (3231239929225 = 1797565²).

65943672025 divided by its sum of digits (49) gives a square (1345789225 = 36685²).

The spelling of 65943672025 in words is "sixty-five billion, nine hundred forty-three million, six hundred seventy-two thousand, twenty-five".