65006641297 has 16 divisors (see below), whose sum is σ = 70172947152. Its totient is φ = 59864186880.

The previous prime is 65006641291. The next prime is 65006641321. The reversal of 65006641297 is 79214660056.

It is a Cunningham number, because it is equal to 254964²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 389509696 + 64617131601 = 19736^2 + 254199^2 .

It is a cyclic number.

It is not a de Polignac number, because 65006641297 - 2³ = 65006641289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65006641291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14138803 + ... + 14143399.

It is an arithmetic number, because the mean of its divisors is an integer number (4385809197).

Almost surely, 2^65006641297 is an apocalyptic number.

It is an amenable number.

65006641297 is a deficient number, since it is larger than the sum of its proper divisors (5166305855).

65006641297 is a wasteful number, since it uses less digits than its factorization.

65006641297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 65006641297 in words is "sixty-five billion, six million, six hundred forty-one thousand, two hundred ninety-seven".