65462561 has 2 divisors, whose sum is σ = 65462562. Its totient is φ = 65462560.

The previous prime is 65462533. The next prime is 65462567. The reversal of 65462561 is 16526456.

65462561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65302561 + 160000 = 8081^2 + 400^2 .

It is a cyclic number.

It is not a de Polignac number, because 65462561 - 2¹⁸ = 65200417 is a prime.

It is equal to p_3866264 and since 65462561 and 3866264 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (65462567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32731280 + 32731281.

It is an arithmetic number, because the mean of its divisors is an integer number (32731281).

Almost surely, 2^65462561 is an apocalyptic number.

It is an amenable number.

65462561 is a deficient number, since it is larger than the sum of its proper divisors (1).

65462561 is an equidigital number, since it uses as much as digits as its factorization.

65462561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 35.

The square root of 65462561 is about 8090.8937083613. The cubic root of 65462561 is about 403.0240817911.

The spelling of 65462561 in words is "sixty-five million, four hundred sixty-two thousand, five hundred sixty-one".