65584935257 has 2 divisors, whose sum is σ = 65584935258. Its totient is φ = 65584935256.

The previous prime is 65584935233. The next prime is 65584935391. The reversal of 65584935257 is 75253948556.

65584935257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63899750656 + 1685184601 = 252784^2 + 41051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65584935257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65584935196 and 65584935205.

It is not a weakly prime, because it can be changed into another prime (65584935457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32792467628 + 32792467629.

It is an arithmetic number, because the mean of its divisors is an integer number (32792467629).

Almost surely, 2^65584935257 is an apocalyptic number.

It is an amenable number.

65584935257 is a deficient number, since it is larger than the sum of its proper divisors (1).

65584935257 is an equidigital number, since it uses as much as digits as its factorization.

65584935257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360000, while the sum is 59.

The spelling of 65584935257 in words is "sixty-five billion, five hundred eighty-four million, nine hundred thirty-five thousand, two hundred fifty-seven".