8465201259761 has 2 divisors, whose sum is σ = 8465201259762. Its totient is φ = 8465201259760.

The previous prime is 8465201259659. The next prime is 8465201259763. The reversal of 8465201259761 is 1679521025648.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8320311405025 + 144889854736 = 2884495^2 + 380644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8465201259761 is a prime.

Together with 8465201259763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8465201259697 and 8465201259706.

It is not a weakly prime, because it can be changed into another prime (8465201259763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4232600629880 + 4232600629881.

It is an arithmetic number, because the mean of its divisors is an integer number (4232600629881).

Almost surely, 2^{8465201259761} is an apocalyptic number.

It is an amenable number.

8465201259761 is a deficient number, since it is larger than the sum of its proper divisors (1).

8465201259761 is an equidigital number, since it uses as much as digits as its factorization.

8465201259761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 8465201259761 in words is "eight trillion, four hundred sixty-five billion, two hundred one million, two hundred fifty-nine thousand, seven hundred sixty-one".